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

Answer:

Number of quarters with Pablo = 4

Number of quarters with Laqueta = 12

Step-by-step 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 = $3 \times 4$ = 12