Q:

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?

Accepted Solution

A:
Answer:Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.Step-by-step explanation:Let the number of rainbow sticker be x and number of balloon stickers be y.Cost a single rainbow sticker= 6 centsCost a single balloon sticker= 4 centsCost a single x rainbow sticker= 6 cents × xCost a single y balloon sticker= 4 cents × yTotal number of stickers bought = 14x + y =14 ..[1]Total money spend on stickers = 68 cents6x cents+4y cents=68 cents[tex]6x+4y=68[/tex]...[2]Putting value of from [1] into [2];x = 14 - y[tex]6(14-y)+ 4y=68[/tex][tex]84-6y+4y=68[/tex][tex]-2y=-16[/tex][tex]y=\frac{-16}{-2}=8[/tex]x = 14 -y =14 - 8 = 6Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.