Sarah spent 5/12 of her money on 19 hairclips and 24 stickers. The price of a sticker was 1/4 of the price of a hairclip. She wanted to have the same number of hairclips and stickers. With her remaining amount of money, how many hairclips and stickers must she buy so that she would have the same number of hairclips and stickers in the end?
Sarah must buy 8 hairclips and 8 stickers.
total money = m
P sicker = s
P hairclip = 4 s
19*4 s + 24 s = 5 m/12 and 1 -5/12 = 7/12
7 m/12 = (7/5) (76+24)s = 140 s
m/12 = 20 s
n = final number of stickers and final number of clips
7 m / 12 = (n - 24) s + (n-19*4) s
140 s = 2 n s - 100 s
140 = 2 n - 100
2 n = 240
n = 120
so hairclips = 120 - 19
and stickers = 120 - 24