Three friends pool in money to buy a birthday gift for a common friend. What fraction of the money pooled in was contributed by the friend who paid the largest part of the money collected? Statements: 1) On Nriend contributed three times the amount contributed by another . II) One friend contributed 30% of the money collected.
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One friend contributed three times the amount contributed by another.
Step-by-step-explanation:
- Let the cost of the gift is x dollars,
- Since, Declan contributes 4 dollars more than 1/4 of the cost of the gift,
- So, Declan's contribution = x/4+4
- Also, Ed contributes 1 dollar less than 1/3 of the cost of the gift,
- So, Ed's contribution = x/3-1
- Again frank contributes the remaining 22 dollars,
- ∵ Only three person contributed,
- Thus, the total price of the cost = x/4+4+x/3-1+22
- =3x+4x/12+25
- =7x/12+25
- =7x/12+25=x
- 7x/12=x-25
- 7x=12x-300
- 300=12x-7x
- 300=5x=x=300/5=60
Hence, the cost of the gift is $ 60.
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