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frez [133]
2 years ago
13

Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other fou

r friends' portions of the bill went up by $7 each. How many dollars was the total bill?
Mathematics
1 answer:
MakcuM [25]2 years ago
6 0

Answer:

The total bill was $84

Step-by-step explanation:

Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:

\frac{x}{6}=y

\frac{x}{4}=y+7

Now we can substitute the first equation into the second and solve for x

\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84

Therefore, the total bill was $84

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