Fruit Basket Count

The local grocery store did a fruit count for one week. They sold a total of 735 pieces of fruit. Their results are shown in the table below, but the count for the oranges is missing.

Fruit | Count

Apples: 213

Bananas: 296

Oranges: Unknown

Pears: 118

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Fruit Count Apples 213 Bananas 296 Oranges ? Pears 118 Total: 735 pieces of fruit

Questions

(a) How many oranges did they sell?

(b) Did they sell more apples and oranges combined than bananas and pears combined?

Solution

(a) From the information in the table, we can find the total number of apples, bananas, and pears is equal to 213 + 296 + 118 = 627. Since they sold a total of 735 pieces of fruit, we can find the number of oranges by subtracting the total number of the other fruits from the overall total number of fruits. That is, 735 – 627 = 108.

Therefore, they sold 108 oranges.

(b) They sold 213 + 108 = 321 apples and oranges combined.
They sold 296 + 118 = 414 bananas and pears combined.

So they sold more bananas and pears combined.

Alternatively, from the given data we know that they sold 296 + 118 = 414 bananas and pears combined. Since 414 is more than half of 735, which is the total number of fruits, then they must have sold more bananas and pears.

Total Fruits: 735 Apples: 213 Bananas: 296 Pears: 118 Sum: 627 Oranges = Total - Sum of Known Oranges = 735 - 627 = 108 Apples + Oranges: 213 + 108 = 321 Bananas + Pears: 296 + 118 = 414 414 > 321, so Bananas + Pears is greater