Question

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?

Answer 1

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