Question

Gianna has $0.90 worth of nickels and dimes. She has 7 times as many nickels as dimes. By following the steps below, determine the number of nickels, x, commax, and the number of dimes, y, commay, that Gianna has

Answer 1

Answer:

2 dimes and 14 nickels

Step-by-step explanation:

First, we would use x to represent the number of dimes, and use 7x to represent the number of nickels because there are 7 times more nickels than dimes. Next, we need to multiply the terms by the value of each coin accordingly. So, dimes are worth $0.10, thus we would use 0.1x to represent the VALUE of dimes. Similarly, since nickels are worth $0.05, we would use 0.05*7x or 0.35x to represent the value of nickels. Then, we would set up the equation 0.1x+0.35x=0.90, and solving would give us x=2. If x is equal to 2 then we have 2 dimes since x represents the number of dimes. Multiplying 2 by 7 (7x=number of nickels) would give us 14 nickels.