A textbook store sold a combined total of 438 biology and psychology textbooks in a week. The number of psychology textbooks sol

Question

andrey2020 [161]

1 year ago

8

A textbook store sold a combined total of 438 biology and psychology textbooks in a week. The number of psychology textbooks sol

d was 76 less than the number of biology textbooks sold. How many textbooks of each type were sold?Number of biology textbooks sold:Number of psychology textbooks sold:

Mathematics

1 answer:

Liono4ka [1.6K] · Answer 1 · 2024-06-09T23:50:16+03:00

<h2>Answer:</h2>

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold: 181 textbooks

<h2>Explanations:</h2>

Let the total number of biology textbook sold be "a"

Let the total number of psychology textbook sold be "b"

If a textbook store sold a combined total of 438 biology and psychology textbooks in a week, then:

a + b = 438 ................... 1

If the number of psychology textbooks sold was 76 less than the number of biology textbooks sold, then;

b = a - 76 ...................... 2

Substitute equation 2 into 1

a + (a-76) = 438

a + a - 76 = 438

2a = 438 + 76

2a = 514

a = 514/2

a = 257 biology textbooks

From equation 2;

b = a - 76

b = 257 - 76

b = 181 psychology textbooks

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold: 181 textbooks