Question 305148: Hy can you help me solve this question:
if a pair of shoes and a sweater cost $ 98. If the sweater is $ 16 more than the shoes, the sweater cost?
Pedro Santos radios seller receives a weekly salary plus a commission, and percentage of sales. A week sales $ 3000, his pay was $ 850. Folowing week sales of $ 4,000,the total payment was $ 1,000 weekly salary. determine the percentage of commission
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! X+Y=98
X=Y+16
(Y+16)+Y=98
2Y=98-16
2Y=82
Y=82/2
Y=$41 IS THE PRICE OF THE SHOES.
98-41=$57 IS THE PRICE OF THE SWEATER.
PROOF:
57=41+16
57=57
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LET X BE THE COMMISSION & Y BE THE SALARY.
3,000X+Y=850
4,000X+Y=1,000 SUBTRACT.
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-1,000X=-150
X=-150/-1,000
X=.15 OR 15 % IS THE COMMISSION ON SALES.
3,000*.15+Y=850
460=Y=850
Y=850-450
Y=$400 IS THE SALARY.
PROOF:
4,000*.15+400=1,000
600+400=1,000
1,000=1,000
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