Jo owned ajuice shop.He sold acup of lemonjuice $1.50 & acup of applejuice $2.50. If Jo old a total of 158 cups of juice and collected a total of $260, how many cups of each type did he sell?

Answer 1

Hi Alexandro,

Since we know Jo sold 158 cups and collected $260, then we will need two equations to express that.

Let's set:

a cup of lemon juice = x

a cup of apple juice = y

Jo knows he sold 158 cups because he added all the cups of lemon juice and cups of apple juice together:

x + y = 158

Each cup of lemon juice is $1.50 and each cup of apple juice is $2.50, and the total earned is $260:

1.50x + 2.50y = 260

Now we have two equations, we can solve the system by using graphs, substitution, or elimination.

x + y =158

1.5x + 2.5y = 260

You can use either method, but for now, I'll pick substitution.

Rewrite:

x + y = 158 to x = 158 - y

Substitute and solve for y:

1.5 (158 - y) + 2.5y = 260

237 - 1.5y + 2.5y = 260

237 + 1y = 260

y = 23

Substitute and solve for x:

x + 23 = 158

x = 135

Double check:

x + y = 135 + 23 = 158 check

1.5x + 2.5y = 1.5(135) + 2.5(23) = 202.5 + 57.5 = 260 check

Therefore, he sold 135 cups of lemon juice and 23 cups of apple juice.