Question

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack." How many dimes and quarters in Lulu holding? Enter your final answer in the space below. Please make sure you write your interpretation in a complete sentence

Answer 1

Given :

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.

They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.

To Find :

How many dimes and quarters in Lulu holding?

Solution :

4.10 dollar = 410 cents

Let, number of dimes and quarter are x and y.

So, x + y = 20    ...1)

Also, 10x + 25y = 410    ...2)  

Putting value of 1) in equation 2), we get :

10x + 25( 20 - x ) = 410

10x + 500 - 25x = 410

15x = 90

x = 6

y = 14

Therefore, number of dimes and quarters are 6 and 14 respectively.

Hence, this is the required solution.