Thomas collects dimes and quarters in his change jar. If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30, find the number of each type of coin in the jar.

Mathematics · High School · Mon Jan 18 2021

Answered on

no. of dimes=x
no. of quarters = y


from 1st condition,
x*(.10+y*(.25)=30.50
from 2nd condition,

x-4=y
substitution value of y in 1st equation,
x*10+(x-4)*25=30.50
solving we get
no. of dimes :90
no. of quarter: 86