2) gabriella is making fruit baskets. she has 28 oranges and 35 apples. she wants to divide the fruit evenly…
2) gabriella is making fruit baskets. she has 28 oranges and 35 apples. she wants to divide the fruit evenly to make the greatest number of identical baskets, with no leftover fruit. how many baskets can she make?
Answer
Explanation:
Step1: Find factors of 28
The factors of 28 are (1, 2, 4, 7, 14, 28) (since (1\times28 = 28), (2\times14 = 28), (4\times7 = 28)).
Step2: Find factors of 35
The factors of 35 are (1, 5, 7, 35) (since (1\times35 = 35), (5\times7 = 35)).
Step3: Identify the GCF
The common factors of 28 and 35 are (1, 7). The greatest common factor (GCF) is 7. This means she can make 7 baskets (each basket will have (28\div7 = 4) oranges and (35\div7 = 5) apples).
Answer:
7