Question

Sarah is making fruit baskets. she has 30 peaches and 35 bananas. If sarah distributes them equally and makes the greatest number of baskets she can, how many total pieces of fruit will be in each basket?

Answer 1

To find the greatest number of baskets with an equal number of peaches and bananas, we need to find the greatest common divisor (GCD) of the two quantities.

The GCD of 30 (peaches) and 35 (bananas) is 5.

So, if Sarah wants to distribute the fruits equally and make the greatest number of baskets, each basket will have a total of 5 pieces of fruit (3 peaches and 2 bananas).

Answer 2

The Mathematics question is about evenly distributing peaches and bananas into fruit baskets. By finding the greatest common divisor, Sarah can make 5 fruit baskets, each containing a total of 13 pieces of fruit.

Step-by-step explanation:

The subject of this question is Mathematics and it pertains to the concept of finding the greatest common divisor (GCD) to distribute items evenly. Sarah has 30 peaches and 35 bananas, and she wants to divide them equally across the greatest number of baskets she can, with an equal number of each type of fruit in each basket.

To solve this, we first find the GCD of 30 and 35, which is 5. Therefore, Sarah can make 5 baskets. Since 30 peaches and 35 bananas are to be divided by 5, we get:

1. 30 peaches ÷ 5 = 6 peaches per basket
2. 35 bananas ÷ 5 = 7 bananas per basket

So each basket will contain 6 peaches and 7 bananas, for a total of 13 pieces of fruit per basket.