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goldfiish [28.3K]

2 years ago

12

Alice, Ben and Carol shared a sum of money they received. Alice received 1/5 of the money. The rest of the money was divided bet

ween Ben and Carol in the ratio 1:3. If Carol received $6 more than Alice, how much money did Ben receive?

1 answer:

Levart [38]2 years ago

8 0

Answer:

$3

Step-by-step explanation:

The money shared by Ben and Carol was split ...

... Ben : Carol = 1 : 3

The difference of these ratio numbers is 2, and the difference in amount received is $6. Thus, each ratio unit must stand for $6/2 = $3.

... Ben received 1×$3 = $3

_____

<em>The Rest of the Story</em>

Carol received 3×$3 = $9. Together, Ben and Carol received $3 + 9 = $12, which is 4/5 of the total amount. Then the 1/5 of the total amount that Alice received is

... (1/5)×$12/(4/5) = (1/4)×$12 = $3.

The $15 of money was split ...

... Alice : Ben : Carol = $3 : $3 : $9

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$\huge\textsf{Hey there!}$

$\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}$

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