Question

Lixin intends to buy either Gift A, which costs $10,or Gift B, which costs $8, as Christmas gifts for each ofher parents, 2 siblings, 13 relatives and 10 friends.Given that she intends to spend $230, find thenumber of each gift she should buy.​

Answer 1

Answer:

Gift A = 7

Gift B = 20

Step-by-step explanation:

Given Information

• Gift A = 10$
• Gift B = 8$
• Total Budget = 230$
• Number of recipients = 2(parents) + 2(siblings) + 13(relatives) + 10(friends) = 27

Assumptions

• Number of Gift A bought = x
• Number of Gift B bought = y
• Total money spent = 230$ i.e als the money is to be utilised

Constraints (Equations)

1. 10x + 8y = 230
2. x + y = 27

Solution

From Eq(2), let y = 27 - x

Therefore, substituting in Eq(1), we get:

10x + 8(27 - x) = 230

2x + 216 = 230

x = 7

Substituting x back in Eq(2), we get y = 20