Mr. Smith divides an amount of money between his three children Abe, Beth, and Charlie, in the ratio 3 : 2 : 7. If Charlie received $120 more than Abe, how much did Beth receive?

IT NOT 60

Step-by-step explanation:

Given that,

Ratio of division between the three children is

Abe : Beth : Charlie = 3 : 2 : 7

Total ratio is 3+2+7 = 12

If Charlie receive $120 more than Abe

We want find how much Beth receives

Let the total money be $y

Using ratio

Abe : Beth : Charlie = 3 : 2 : 7

Abe will receive

Abe = ( 3 / 12 ) × y

Abe = y / 4

Beth will receive

Beth = (2 / 12) × y

Beth = y / 6

Charlie will receive

Charlie = (7 / 12) × y

Charlie= 7y / 12

We know that

Charlie will receive $120 more than Abe,

Then,

Abe + $120 = Charlie

(y / 4) + $120 = 7y / 12

Multiply through by 12 to remove the frationc

3y + 1440 = 7y

Collect like terms

1440 = 7y - 3y

1440 = 4y

Divide both sides by 4

y = 1440 / 4

y = $360

So, the total money shared is $360

Then, to find Beth

Beth receive y/6

Beth = y / 6

Beth = 360 / 6

Beth = $60.

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step-by-step explanation: