Question

A textbook store sold a combined total of 372 math and biology textbooks in a week. The number of math textbooks sold was 84 more than the number of biology textbooks sold. How many textbooks of each type were sold?

Answer 1

There are 144 biology books.

There are 228 math books.

Explanation:

Let m = the number of math books

Let b = the number of biology books

m + b = 372

m = b + 84 Substitute b + 84 for m in the first equation.

m + b = 372

b + 84 + b = 372 Combine like terms

2b + 84 = 372 Subtract 84 from both sides

2b + 84 - 84 = 372 - 84

2b = 288 Divide both sides by 2

b = 144

There are 144 biology books.

m + b = 372 Substitute 144 for b

m + 144 = 372 Subtract 144 from both sides

m + 144 - 144 = 372 -144

m = 228

There are 228 math books.

Check:

m + b = 372

228 + 144 = 372

372 = 372 Checks

m = b + 84

228 = 144 + 84

228 = 228 Checks

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