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3 years ago

NEED ANSWER ASAP pls

Mathematics

1 answer:

EleoNora [17]3 years ago

4 0

Answer:

Let F = Fran's income

Let W = Winston's income

Combined income is 80000 ==> F + W = 80000

One quarter of Winston's income is the same as one-sixth of Fran's income ==>

(1/4)*W = (1/6)*F

Multiply the 2nd equation by 12 to clear the fractions

3*W = 2*F

Solve this equation for F

F = (3/2)*W

Substitute this value for F into the 1st equation

(3/2)*W + W = 80000

(5/2)*W = 80000

W = (2/5)*80000 = 32000

So F = 80000 - 32000 = 48000

So Winston earns 32000 and Fran earns 48000

Check: One quarter of Winston's income is 32000/4 = 8000

One sixth of Fran'e income is 48000/6 = 8000

Step-by-step explanation: Hope this helps

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