Question

Elsie took all of her cans and bottles from home to the recycling plant. the number of cans was one more than four times the number of bottles. she earned 12¢ for each bottle and 10¢ for each can, and ended up earning $2.18 in all. how many cans and bottles did she recycle?

Answer 1

Elsie recycled 4 bottles and 17 cans.

Step-by-step explanation:

Let's represent the number of bottles as 'x'. Therefore, the number of cans can be represented as '4x+1', since it is one more than four times the number of bottles.

Given that Elsie earned 12¢ for each bottle and 10¢ for each can, we can set up the equation: 12x + 10(4x+1) = 218.

Solving this equation, we get:

12x + 40x + 10 = 218

52x + 10 = 218

52x = 208

x = 4

So, Elsie recycled 4 bottles and the number of cans is 4(4)+1 = 17.

Answer 2

she had 17cans and 4 bottles for a total of $2.18