The ratio of sorin's weekly allowance to joel's weekly allowance was 4: 7. after sorin received $50 frim his parents, the ratio became 8: 7. how much more money did joel have than sorin in the beginning?

$37.50

Step-by-step explanation:

Let beginning amount of money be

"s" for Sorin

and

"j" for Joel

The ratio is 4:7, so we can write:

Also,

After sorin GOT 50 MORE, the ratio became 8:7, so we can write:

Let's cross multiply 1st equation and find an expression for "j":

Now, we put this into 2nd and solve for s:

Cross multiply and solve for s:

So, "j" would be:

Sorin's allowance is $50

Joel's allowance is $87.50

Joel had 87.50 - 50 = $37.50 more than Sorin

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right