Question

A women has 7 times as many dimes as nickels. The total value of the coins is $3.75. How many of each coin does she have

Answer 1

So, I would first see what the value would be if there was only one nickel.
.05+7(.1)=.75
Now divide 3.75 by .75 to see how many there would be:
3.75÷.75= 5
Now see if there was 5 nickels
5(.05)+35(.1)= .25+3.5=3.75
So there are 5 nickels and 35 dimes.

Answer 2

Answer:

q = $0.05

e = $0.5

Step-by-step explanation:

13q = 0.65 equation 1

5q + 7e = $3.75   equation 2

in equation 1, divide both sides of the equation by 13

q = 0.65 / 13 = 0.05

Substitute for the value of q in equation 2

5(0.05) + 7e = 3.75

0.25 + 7e = 3.75

collect like terms

3,75 - 0.25 = 7e

3.5 = 7e

e = 0.5