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2 years ago

9

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1 answer:

Valentin [98]2 years ago

7 0

Answer:

Todd: 25
Andrew: 45

Step-by-step explanation:

We can let "a" stand for the number of goldfish Andrew has. Then the number Todd has is (70-a). We are told the difference is ...

a - (70-a) = 20

2a = 90 . . . . . . . .collect terms, add 70

a = 45

70-a = 25

Andrew has 45 goldfish; Todd has 25.

_____

<em>Comment on the problem</em>

I call this a "sum and difference" problem. You are given the total of two counts, and also their difference. If you were paying attention to the above solution, you see that <em>the larger of the counts</em> is (70+20)/2, <em>half the sum of the given numbers</em>. This is generically true of all <em>sum and difference</em> problems.

Knowing this, you can work most of these problems in your head.

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