Question

1. jill and anjali are selling fruit for a school fundraiser. customers can buy small boxes of tangerines and large boxes of tangerines. jill sold 1 small box of tangerines and 3 large boxes of tangerines for a total of $57. anjali sold 1 small box of tangerines and 4 large boxes of tangerines for a total of $74. what is the cost each of one small box of tangerines and one large box of tangerines? a) small box of tangerines: $17, large box of tangerines: $6 b) small box of tangerines: $6, large box of tangerines: $17 c) small box of tangerines: $5, large box of tangerines: $8 d) small box of tangerines: $2, large box of tangerines: $18 e) small box of tangerines: $7, large box of tangerines: $22 a b c d e

Explanation:

Step1: Define variables

Let \( s \) be the cost of a small box and \( l \) be the cost of a large box.
From Jill's sale: \( s + 3l = 57 \)
From Anjali's sale: \( s + 4l = 74 \)

Step2: Subtract the first equation from the second

\( (s + 4l) - (s + 3l) = 74 - 57 \)
Simplify: \( l = 17 \)

Step3: Substitute \( l = 17 \) into the first equation

\( s + 3(17) = 57 \)
\( s + 51 = 57 \)
\( s = 57 - 51 = 6 \)

Answer:

B. small box of tangerines: $6, large box of tangerines: $17