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Sophia was counting the coins in her money box.
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She had 62 coins.
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29 of them were quarters and the rest were dimes.
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She wants to know how many dimes are in her money box.
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Which part-part-whole diagram represents this problem?
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We’re given two possible answers to this problem.
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But what’s the same and what’s different about the two diagrams?
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Well, firstly, both diagrams show a whole amount that’s labelled, and this is made up of two parts, and they’re coloured blue and orange on our diagrams.
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Also, both diagrams show that 29 is part of the whole.
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These are the 29 quarters that the problem tells us that Sophia has.
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But a big difference is how these diagrams represent the number 62.
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Is it the whole amount or is it part of the whole?
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Let’s read the question again to find out.
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Sophia was counting the coins in her money box.
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She had 62 coins.
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This is talking about the total amount of coins Sophia has because we find out that 29 of them are quarters and the rest are dimes.
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So the whole is worth 62.
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So we can see now which of the two diagrams is correct.
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The total number of coins or the whole amount is 62.
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Part of the whole are the 29 quarters that Sophia has, and the rest are dimes.
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And Sophia wants to know what this other part is worth.
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And so the part-part-whole diagram that represents this problem is this one.