SOLUTION: Hi The cost of a present was shared between Peter and Bob. At first Peter paid 2/3 of what Bob paid. When Peter paid $46 more,he ended up paying 4/5 of what Bob paid. What was the

Question 1209424: Hi
The cost of a present was shared between Peter and Bob. At first Peter paid 2/3 of what Bob paid. When Peter paid $46 more,he ended up paying 4/5 of what Bob paid. What was the cost of the present.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52925) (Show Source): You can put this solution on YOUR website!
.
Hi
The cost of a present was shared between Peter and Bob.
At first Peter paid 2/3 of what Bob paid.
When Peter paid $46 more, he ended up paying 4/5 of what Bob paid.
What was the cost of the present.
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Let x be the Bob's payment, in dollars. Then the first Peter payment was . The second Peter's payment was $46 additional dollars. The sum of the Peter's both payments is dollars. According to the condition, this sum is . So, our equation is = . Now simplify and find x. To do it, multiply both sides by 3*5 = 15 and continue 10x + 690 = 12x 690 = 12x - 10x 690 = 2x x = 690/2 = 345 dollars. It is the Bob's payment. First Peter's payment was 2/3 of 345 dollars, i.e. 230 dollars. After the second Peter's payment, his part becomes 230 + 46 = 276 dollars. Hence, the total cost of the present is 345 + 276 = 621 dollars. ANSWER CHECK. Check that 276 dollars is 4/5 of 345 dollars: = 276 dollars. ( correct ! )

Solved.

Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

At first Peter paid 2/3 of what Bob paid.

So let 2x and 3x, respectively, be the amounts that Peter and Bob paid originally.

When Peter paid $46 more, he ended up paying 4/5 of what Bob paid.

So Peter paid a total of 2x+$46, which is 4/5 of the 3x that Bob paid:

Originally, Peter paid 2x = $230 and Bob paid 3x = $345. Then Peter paid $46 more, for a total of $230+$46 = $276.

The cost of the present was then $276 + $345 = $621.

ANSWER: $621

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