Question

The ratio of collectible stamps Georgia owns to stamps that Julie owns is 2:1. Julie has 64 stamps. How will the ratio of Georgia’s stamps to Julie’s stamps change if they both sell half of their stamps? Explain.

Answer 1

Explanation:

As both are selling half of their stamps, the ratio won't change. It will be same:

Reason:

Georgia : Julie = 2 : 1

Let total stamps = x

Part of stamps that Georgia has = 2/3 of x

Part of stamps that Julie has = 1/3 of x

`(1)/(3)x=64\\\\x = 64*3\\\\x= 192`

Total stamps = 192

Stamps with Georgia = 192 - 64 = 128

After selling half of his stamp, Georgia has = 128÷2 = 64

After selling half of her stamp, Julie has = 64 ÷ 2 = 32

Ratio of stamps after selling half of their stamps = 64 : 32

= 2 : 1

The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.

Juanita : Aisling = 3 : 1

Let total rocks = x

Part of rocks that Juanita has = 3/4 of x

Part of rocks that Aisling has = 1/4 of x

`(1)/(4)x=32\\\\x = 32*4\\\\x= 128`

Total rocks = 128

Rocks with Juanita = 128 - 32 = 96

After selling one fourth of his rock, Aisling has = 32 ÷ 4 = 8

After selling half of her rock, Juanita has = 96 ÷ 4 = 24

Ratio of rocks after selling one fourth of their rocks =24 : 8

= 3 : 1