Question

Laqueta has three times as many quarters as Pablo if they each spend $.50 Laqueta will have five times as many quarters as Pablo how many quarters do Laqueta and Pablo have now?

Answer 1

Number of quarters with Pablo = 4

Number of quarters with Laqueta = 12

Explanation:

Given that:

Laqueta has three times as many quarters as Pablo.

They both spend $0.50.

After that Laqueta will have 5 times as many quarters as Pablo.

To find:

Number of quarters with Laqueta and Pablo now?

Solution:

Let number of quarters with Laqueta =
`x`

Let number of quarters with Pablo =
`y`

As per given statement:

`x=3y ..... (1)`

In $0.50, there are 2 quarters:

After spending $0.50, number of quarters left with both of them:

Number of quarters left with Laqueta =
`x` - 2 =
`3y-2`

Money left with Pablo =
`y` - 2

As per given statement:

`3y-2 = 5(y-2)\\\Rightarrow 3y-2 = 5y-10\\\Rightarrow 2y = 8\\\Rightarrow y = 4`

Therefore, the answer is:

Number of quarters with Pablo = 4

Number of quarters with Laqueta =
`3 * 4` = 12