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The bar graph shows the sports that children play after school.
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How many more children play baseball than football?
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How many children play hockey or tennis?
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In this problem, we’re given a bar graph which shows the sports that children play after school.
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And we can see that there are four different sports.
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This orange bar shows the number of children that play football.
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Then, we have the number of children who play baseball, followed by hockey, and lastly tennis.
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These different sports are listed across the bottom of the graph, the 𝑥-axis.
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And the 𝑦-axis is numbered from zero to 100.
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This must be the number of children.
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We can see that the axis is marked in intervals of 10, 10, 20, 30, 40, and so on, all the way through to 100.
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But we can also see that the graph has been drawn on squared paper.
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And in between each interval of 10, there are five different squares.
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This means that each small square on the graph represents two.
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We have two questions to answer in this problem.
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And the first asks is how many more children played baseball than football.
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And to help us answer the question, we’re given what looks like a zoomed-in part of the graph.
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It shows us the part that we need to concentrate on.
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The blue bar here is the top of this blue bar.
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It shows us the number of children who play baseball.
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And the top of this orange bar is the bar that shows us the number of children who play football.
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So, we need to calculate the difference between these two amounts.
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Firstly, let’s calculate how many children play football.
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We can see that the interval that represents 30 is here.
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But the top of our bar is one, two, three more squares than 30.
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We said that each small square was worth two.
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So, let’s count in three more twos, 32, 34, 36.
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The number of children who play football is 36.
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Now, let’s read the bar graph to find out the number of children who play baseball.
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We can see that the interval that represents 70 is here.
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And the top of the bar graph is two more small squares than that.
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Let’s count in twos twice, 72, 74.
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The number of children who play baseball is 74.
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So, how many more than 36 is 74?
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Let’s count on from 36 to help us find the answer.
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First of all, we can add to get to the next 10.
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So, if we add four, it takes us to 40.
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Now, we can do a large jump to the nearest 10 to our target, which is 70.
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We need to add 30 to 40 to get to 70.
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And then, finally, a jump of four takes us to 74.
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So, the difference between 36 and 74 is four plus 30 plus four, which equals 38.
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38 more children play baseball than football.
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Our final question asks us how many children play hockey or tennis.
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To find this answer, we need to find the total of the number of children that play hockey and also those that play tennis.
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This will give us the number of children that play hockey or tennis.
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We don’t have a zoomed-in part of the graph to look at, so we’re going to have to use the main bar graph to help us.
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First of all, let’s find the number of children that play hockey.
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If we draw the line across level with the top of the bar that represents hockey, we can see that 20 children play hockey after school.
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The pink bar represents those children that play tennis.
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And we can see that a line has already been drawn across for us.
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The multiple of 10 that the top of this bar is nearest to is 50.
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But we can see that the top of the bar is two more small squares above 50.
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So, we need to count in twos two more times, 52, 54.
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So, to find the number of children that play hockey or tennis, we need to add 54 and 20 together.
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When we add 20, we’re simply adding two more 10s.
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So, the answer, the total, is going to be 74.
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For each question, we read the graph carefully to find the information that we needed.
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And then, we used that information to calculate.
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To find how many more children play baseball than football, we calculated 74 take away 36, or the difference between those two numbers.
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And the answer is 38.
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And then, to calculate the number of children that play hockey or tennis, we needed to add together 54 and 20.
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And the answer to that was 74.