Answer:
8 nickels and 14 pennies
Step-by-step explanation:
Let p = number of pennies
Let n = number of nickels
p + n = 22 .01p + .05n =.54
Take the second equation and multiple it through by 100 to clear the decimals.
100(.01p + .05n( = .54(100)
p + 5 n = 54 Multiply this through by -1 so that I can add it to the first equation.
-p -5n = -54
p + n = 22 Add these together
-4n = -32 Divide both sides by -4
n = 8 We have solved for n. We have 8 nickels.
Plug 8 in for n in the first equation and solve for p.
p + n = 22
p + 8 = 22 Subtract both sides by 8
p = 14 There are 14 pennies.
Check:
p + n = 22
14 + 8 = 22
22 = 22 Checks
.01p + .05n = .54
.01(14) + .05(8) = .54
.14 + .40 .54
.54 .54 check
