You are collecting pairs of socks and toothbrushes for a local charity. After d days, you have collected (4d+5) pairs of socks and (3d+7) toothbrushes. A.) write an expression that represents the total number of items that have been collected. B.) How many more pairs of socks than toothbrushes have been collected on day 7?

Question

Mathematics

Hogan

2 December, 03:38

You are collecting pairs of socks and toothbrushes for a local charity. After d days, you have collected (4d+5) pairs of socks and (3d+7) toothbrushes. A.) write an expression that represents the total number of items that have been collected. B.) How many more pairs of socks than toothbrushes have been collected on day 7?

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Answers (1)

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Jaida Hardin · Answer 1

Step-by-step explanation:

A) Let n = the total number of items (pairs of socks and toothbrushes) that have been collected.

After d days, you have collected (4d+5) pairs of socks and (3d+7) toothbrushes. Therefore,

n = (4d+5) + (3d + 7)

n = 4d + 3d + 5 + 7

n = 7d + 12

The expression that represents the total number of items that have been collected is n = 7d + 12

B) After d days, you have collected (4d+5) pairs of socks.

After 7 days, number of pairs of socks collected will be

(4*7 + 5) = 33 pairs of socks

After d days, you have collected (3d+7) toothbrushes.

After 7 days, number of toothbrushes collected will be

(3*7 + 7) = 21 + 7 = 28

Number of pairs of socks - number of pairs toothbrushes = 32-28 = 4

So 4 more pairs of socks than toothbrushes would have been collected on day 7