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can someone please explain to me how to answer this question and also the equation to find the answer

can someone please explain to me how to answer this question and also the equation-example-1

1 Answer

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If #peaches = x and #plums = y we can write the following equations:

x+y=15
0.89x + 0.39y = 8.85

and x and y are whole numbers.

converting the first to x=15-y and plugging it into the second, you get

0.89(15-y) + 0.39y = 8.85 =>
13.35 - 0.89y + 0.39y = 8.85 =>
4.5 = 0.5y =>
y = 9

so x = 15-9 = 6

She bought 9 plums and 6 peaches.


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