SOLUTION: A dollar was changed into 16 coins consisting of just 5 cent and 10 cent coins. How many coins of each kind were in the change?

Question 581167: A dollar was changed into 16 coins consisting of just 5 cent and 10 cent coins. How many coins of each kind were in the change?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of 10 cent coins
Let = number of 5 cent coins
given:
(1)
(2) ( in cents )
--------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and
(1)
(1)
(1)
The number of 10 cent coins is 4
The number of 5 cent coins is 12

RELATED QUESTIONS
Mrs. Sanders had 80 coins. Some of them were 1-dollar coins, and some were 50 cent coins. (answered by richwmiller)

if you had 80 coins some of them are 1 dollar coins and the rest were 50 cent coins the... (answered by ptaylor)

Jose has $1.25 in 5-cent and 10-cent coins. He has 3 times as many 5-cent coins as that... (answered by checkley77)

There are eight times as many 10 cent coins as there are 5 cent coins in a money box. (answered by josmiceli)

Elaine has 88 coins in a purse which are all 5-cent coins and 10-cent coins. The total... (answered by ikleyn,Theo)

I have 30 coins consisting of 5 cent and 20 cent coins. If the total value of these coins (answered by josmiceli)

Sally needs to make $5.37 using the following: Dollar coins 10 cent coins 5 cent coins (answered by Edwin McCravy)

Mrs.Sanders had 80 coins. Some of them were 1-dollar coins, the rest were 50-Cent coins.... (answered by josgarithmetic)

David has a total of 4.10 pesos in 5 cent, 10 cent and 25 cent coins. He has twice as... (answered by josgarithmetic)