A box contains 87 coins, only Dimes and nickels. The amount of money I the box is $5.45. How many dimes and how many nickels are

Question

Verdich [7]

3 years ago

8

A box contains 87 coins, only Dimes and nickels. The amount of money I the box is $5.45. How many dimes and how many nickels are

in the box?

Mathematics

2 answers:

Tamiku [17] · Answer 1 · 2022-04-08T00:54:46+03:00

Tamiku [17]3 years ago

5 0

There are 65 nickels and 22 dimes in the box.

Slav-nsk [51] · Answer 2 · 2022-04-07T22:46:07+03:00

Write the situation as a simultaneous eqution:
x+y=87
10x+5y=545

Now solve for y by multiplying the whole of the first equation by the coefficient of x:
10x+10y=870
10x+5y=545

5y=325
y=65 nickels in the box
x+y=87
x=22 dimes in the box
To prove this is correct, we do (10 x 22)+(5 x 65)=545 cents ($5.45)