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Mandy and Priscilla shared a packet of stickers.At first, the number of stickers Mandy had was 1/4 of the number of stickers Priscilla had. When the girls bought another 28 stickers each, the number of stickers Priscilla had was 1/5 more than the number of stickers Mandy had. How many stickers were there in the packet? Solve if you can, using ALGEBRA ONLY, pls.

Respuesta :

HumanBein

Answer:

10 stickers.

Step-by-step explanation:

Let's say that Mandy has m stickers, and Priscilla has p stickers.

m = 1/4p

6/5(m + 28) = p + 28

6/5(1/4p + 28) = p + 28

1/4p + 28 = 5/6p + 23 and 1/3

5/6p - 1/4p = 28 - 23 and 1/3

10/12p - 3/12p = 84/3 - 70/3

7/12p = 14/3

p = (14/3)(12/7)

p = 8

At the beginning, Priscilla had 8 stickers. That means that Mandy had 1/4 * 8 = 8 / 4 = 2 stickers.

So, in the packet, there were 8 + 2 = 10 stickers.

Hope this helps!