Question 312492
Write an equation for each statement; n = no.of nickels; q = no. of quarters
:
"Jim has a total of 50 coins."
n + q = 50
n = (50-q); use this form for substitution
:
"Some are nickels and some are quarters. Altogether he has $4.10."
.05n + .25q = 4.10
Substitute (50-q) for n
.05(50-q) + .25q = 4.10
:
2.5 - .05q + .25q = 4.10
:
-.05q + .25q = 4.10 - 2.50
:
.20q = 1.60
q = {{{1.60/.20}}}
q = 8 quarters
then
50 - 8 = 42 nickels
:
:
Check solution:
42(.05) + 8(.25)
2.10 + 2.00 = 4.10