Question 571198
Let n = no. of nickels
Let p = no. of pennies
Let q = no. of quarters
:
Write an equation for each statement:
:
"Monica has three times as many nickels as pennies"
n = 3p
or divide both sides by 3
p = {{{1/3}}}n
:
" and twice as many quarters as nickels."
q = 2n
:
"In all she has $3.25."
.01p + .05n + .25q = 3.25
Replace p and q from the 1st two equations
.01{{{1/3}}}n + .05n + .25(2n) = 3.25
{{{.01/3}}}n + .05n + .50n = 3.25
Multiply by 3 to get rid of the denominators, results:
.01n + .15n + 1.5n = 9.75
1.66n = 9.75
n = 5.87, solution has to be an integer, so there something wrong with this problem, a fatal error as they say