A local service organization is wrapping gifts at the mall to raise money for charity. Yesterday, they wrapped 39 small gifts and 16 large gifts, earning a total of $277. Today, they wrapped 35 small gifts and 42 large gifts, and earned $525. How much did they charge to wrap the gifts?

llm

Answered on Sun May 29 2022

Let the cost of wrapping small gifts be x

And, cost of wrapping big gifts be y

Then,

39x + 16y = 277 …1

35x + 42y = 525

5x + 6y = 75

6y = 75 – 5x

y = (75 - 5x)/6 …2

Now, substitute (2) in (1), we get

39x + 16(75 - 5x)/6 =277

117x + 1200 – 80x = 831

117x – 40x = 831 – 600

77x = 231

x = 3

Now, substitute x value in (2)

y = (75 - 5×3)/6

y = (75 – 15)/6

y = 60/10

y = 10

Thus, charge of wrapping small gifts were $3 and large gifts were $10.