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 $230, find thenumber of each gift she should buy.
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Answer:
Gift A = 7
Gift B = 20
Step-by-step explanation:
Given Information
- Gift A = 10$
- 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)
- 10x + 8y = 230
- 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
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