Question

Ashley bought 14 rainbow and balloon stickers for her little sister. The rainbow stickers cost 6 cents apiece and the balloon stickers cost 4 cents apiece. If Ashley spent exactly 68 cents, how many of each type of sticker did she buy?

Answer 1

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

Explanation:

Let the number of rainbow sticker be x and number of balloon stickers be y.

Cost a single rainbow sticker= 6 cents

Cost a single balloon sticker= 4 cents

Cost a single x rainbow sticker= 6 cents × x

Cost a single y balloon sticker= 4 cents × y

Total number of stickers bought = 14

x + y =14 ..[1]

Total money spend on stickers = 68 cents

6x cents+4y cents=68 cents

`6x+4y=68`...[2]

Putting value of from [1] into [2];

x = 14 - y

`6(14-y)+ 4y=68`

`84-6y+4y=68`

`-2y=-16`

`y=(-16)/(-2)=8`

x = 14 -y =14 - 8 = 6

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.