Question 556071
Dimes and quarters add together to equal 700 coins:
d+q=700
Dimes are worth 10 cents each and quarters 25 and if we multiply how many we have times their value and add it together we'll get the amount of money we have
.10d+.25q=145
Solve the first equation for d
d=700-q
Sub 700-q in for d in the second equation:
.10*(700-q)+.25q=145
Distribute
70-.10q+.25q=145
combine like terms
70+.15q=145
subtract 70 from both sides
.15q=75
divide .15 from both sides
q=500
Plug in 500 for q
d+500=700
d=200