Ricardo spent half of his allowance on school supplies. Then he bought a snack for $5.25. When he arrived home, he had $22.50 left. Which equation and solution represent the amount of Ricardo's allowance, a ?

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alvineasokuruvilla alvineasokuruvilla · Answer 1 · 2019-12-07T21:40:47+01:00

Answer:

a = 34.5

Step-by-step explanation:

Let's call s, the amount that Ricardo spends on supplies. We know that he spends half his allowance on school supplies so s= 1/2 *a

Next we know he spent 5.25 on a snack and that when he got home he had 22.50 left, so let's include all that information into one equation

So s+5.25=22.50

This can be simplified more because we know that he spends half the total allowance on the school supplies

So 1/2a+5.25=22.50

Now that we have an equation simplify to find a

Subtract 5.25 from both sides:

1/2a = 17.25

Finally, multiply both sides by 2:

a = 34.5

adioabiola adioabiola · Answer 2 · 2021-09-23T12:26:45+02:00

Write and solve an equation to solve for the amount of Ricardo's allowance.

Given:

let

a = total amount of Ricardo's allowance

School supplies = 1/2 of a = 1/2a

Snack = $5.25

Amount left = $22.50

a = 1/2a + 5.25 + 22.50

a = 1/2a + 27.75

a - 1/2a = 22.75

1/2a = 22.75

Divide both sides by 1/2

a = 22.75 ÷ 1/2

a = 22.75 × 2/1

a = $55.5

The equation is a = 1/2a + 27.75 and the amount of Ricardo's allowance, a is $55.5