Bocephus has a bag full of nickels and dimes. If there are 3 times as many dimes as nickels, and he has $\$36.05$ in his bag, how many nickels does he have?

Question

asked Mar 14, 2020 187k views

2 Answers

Gkb · Answer 1 · 2020-03-19T15:22:18+0000

Answer:

$103\ nickels$

Explanation:

Let

x------> the number of nickels

y-----> the number of dimes

we know that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

0.05x+0.10y=36.05

Multiply by 100 both sides

5x+10y=3,605 ------> equation A

y=3x ------> equation B

substitute equation B in equation A

5x+10(3x)=3,605

5x+30x=3,605

$x=3,605/35=103\ nickels$