SOLUTION: At intermission, Xavier sold refreshments. Of the items he had, 1/5 were granola bars and 1/2 of the remaining items were containers of popcorn. The rest were divided equally among

Question 1162077: At intermission, Xavier sold refreshments. Of the items he had, 1/5 were granola bars and 1/2 of the remaining items were containers of popcorn. The rest were divided equally among apples, rice cake, and containers of yogurt. Xavier sold the 8 apples he had. How many items did he originally have?
Found 3 solutions by ankor@dixie-net.com, MathTherapy, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Let x = no. of items he had originally
:
Of the items he had, 1/5 were granola bars and 1/2 of the remaining items were containers of popcorn.
half of the remaining items x * = x were popcorn
:
The rest were divided equally among apples, rice cake, and containers of yogurt.
Xavier sold the 8 apples he had.
This means the rest were a total of 3(8) = 24 items
:
How many items did he originally have
:
x = bars + popcorn + the rest
x = x + x + 24
x = + 24
x - x = 24
x = 24
multiply both sides by 5
3x = 120
x = 120/3
x = 40 items total

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

At intermission, Xavier sold refreshments. Of the items he had, 1/5 were granola bars and 1/2 of the remaining items were containers of popcorn. The rest were divided equally among apples, rice cake, and containers of yogurt. Xavier sold the 8 apples he had. How many items did he originally have?

Correct answer:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

of all items were granola; the rest is of the items. Half of this items were containers of popcorn. The other half, or the rest, is of the items. These are divided equally in 3 categories: apples, rice cakes, and containers of yogurt. Hence, each of the three categories is = of the items. Since (apples) is 8 item, hence is 4 items. It means that the total number of items was 15*4 = 60. ANSWER. He originally had 60 items.

Solved.

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This problem is for 3rd - 4th - 5th grade level, when young students learn fractions and learn
manipulating fractions, but don't know equations yet.

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