Stephanie had 24 more stickers than Jolene. Stephanie gave half of her stickers to Jolene. Jolene in return gave half of what she had to Stephanie. In the end, Stephanie had 40 more stickers than Jolene. How many stickers did Stephanie have in the end?

Answer 1

at the start:
Joline ---- x stickers
Steph ----- x+24

Steph gave 1/2 of hers to Joline
Joline now has ---- x + (x+24)/2= (3x+24)/2
Step now has --- (x+24)/2

now joline give half of what she has to Steph
Joline now has ---- (3x+24)/4
Steph now has ---- (x+24)/2 + (3x+24)/4 = (5x+72)/4

now Step has 40 more than Joline

(5x+72)/4 = (3x+24)/4+ 40
times 4

5x + 72 = 3x + 24 + 160
2x = 112
x = 56

at the end Steph has (5x+72)/4 or (5(56)+72)/4 or 88 stickers

let's check this:
at the start:
Joline had x or 56 stickers
Steph had x+24 or 80

steph gave half of hers or 40 to Joline, so
Joline now has 96
Steph has 40

finally joline gives half or 48 to steph
so Joline has 48 and
Steph has 40+48 = 88
YEAHHH

Answer 2

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