Allan Has 360 Stamps. He Gave Some To Aaron And Gave 1/4 Of The Remainder To Riza. If Allan Has 225 Stamps Left, How Many Did He Give Aaron?

Allan has 360 stamps. He gave some to Aaron and gave 1/4 of the remainder to Riza. If Allan has 225 stamps left, how many did he give Aaron?

 

Answer:

Allan gave 60 stamps to Aaron.

Step-by-step explanation:

Represent:

Allans stamps: 360

Stamps Allan gave to Aaron: x

Remainder or remaining stamps after Allan gave some to Aaron:  360-x

Stamps given to Riza ⇒ 1/4 of the remainder:  1/4(360-x)

Number of stamps left with Allan: 225

Equation:

Allans stamps - (stamps given to Aaron + stamps given to Riza) = stamps left with Allan

360 - x +  (1/4)(360-x) = 225

Find the x, the number of stamps Allan gave to Aaron:

360 - x + 90 - x/4 = 225

360 - x - 90 + x/4 = 225

360 - 90 - 225 = x - (x/4)

45 = x - (x/4)

(4) 45 = x - (x/4) (4)

180 = 4x - x

180 = 3x

3x/3 = 180/3

x = 60

Allan gave 60 stamps to Aaron.

Substitute, x=60:

Rizas stamps = (1/4) (360 - 60)

= (1/4) (300)

= 75 stamps

Check:

360 - (60 + 75) = 225

360 - 135 = 225

225 = 225   (True)


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