Question

a jar of quarters and dimes has a total value of 20.70 the jar has 10 more quarters than dimes to find the numbers of quarters and dimes in the jar Addison wrote the following equation .25x+.10y=20.70, y=x+10. Is her system of equation correct? why or why not?

Answer 1

Her equation system is incorrect

Explanation:

Remember that

1 dime=$0.10

1 quarter=$0.25

Let

x------> the number of quarters

y-----> the number of dimes

we know that

0.25x+0.10y=20.70 ------> equation A

x=10+y -----> equation B

Her equation system is incorrect, because in her second equation she exchanged the variables, using x instead of y and y instead of x.