Mathematics
vyazzi01
2020-04-24 20:25:00
HELP ------> Solve the following problem. It may be helpful to draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit. A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?
ANSWERS
elenak314
2020-04-25 02:53:04

The answer is 4 nickles, 13 dimes, and 34 quarters. d - number of dimes n - number of nickels q - number of quarters The value of 1 nickel is $0.05. The value of 1 dime is $0.10. The value of 1 quarter is $0.25. A clerk was asked to change a $10 bill: 0.05n + 0.10d + 0.25q = 10 She returned 9 more dimes than nickels: d = n + 9 She returned twenty-one more quarters than dimes: q = d + 21 = n + 9 + 21 = n + 30 We have: 0.05n + 0.10d + 0.25q = 10 d = n + 9 q = n + 30 Substitute d and q into the first equation: 0.05n + 0.10(n + 9) + 0.25(n + 30) = 10 0.05n + 0.10n + 0.90 + 0.25n + 7.5 = 10 0.05n + 0.10n + 0.25n + 0.90 + 7.5 = 10 0.40n + 8.40 = 10 0.40n = 10 - 8.40 0.40n = 1.60 n = 1.60 : 0.40 n = 4 _____ d = n + 9 n = 4 d = 4 + 9 = 13 _____ q = n + 30 n = 4 q = 4 + 30 = 34

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