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After Ricardo received his allowance for the week, he went to the mall with some friends. He spent half of his allowance on a new paperback book. Then he bought himself a snack for $1.25. When he arrived home, he had $5.00 left. How much was his allowance?

Respuesta :

1234cordelianaranjo
lets work backwards, he had $5 after it all, and spent $1.25 on a snack, so we add that to the remainder, which is $6.25. then he spent half of that on whatever stuff he likes, so add $6.25 and $6.25, which is $12.50
lublana

Answer:

$12.50

Step-by-step explanation:

We have to find value of his allowance

Let Ricardo received allowance =x

He spent his allowance on anew paperback book=[tex]\frac{x}{2}[/tex]

He spent money on snacks=$1.25

He had money left=$5.00

According to question

[tex]\frac{x}{2}+1.25+5=x[/tex]

[tex]6.25=x-\frac{x}{2}[/tex]

[tex]6.25=\frac{2x-x}{2}[/tex]

[tex]\frac{x}{2}=6.25[/tex]

[tex]x=6.25\times 2[/tex]

[tex]x=12.50[/tex]

Hence, Ricardo received his allowance for the week =$12.50

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