Question

A grocery store clerk has 16 oranges ,20 apples and 24 pears the clerk needs to put an equal number of apples , oranges and pears into each basket. A) what is the greatest number of baskets can be made so that no fruit is left over B)How many oranges ,apples & pears are in each basket

Answer 1

A.) The clerk has - 16 oranges 20 apples 24 pears

he needs to put all three fruits into baskets without any leftover fruits

each basket should have equal amounts of each fruit

so to find the largest number of baskets he can make we have to find the highest common factor for 16,20 and 24

so lets find the factors for each of these

16 - 1,2,4,8,16

20 - 1,2,4,5,10,20

24 - 1,2,3,4,6,8,12,24

from the given factors the common factors for all three are 1,2 and 4

from these the highest factor is 4

therefore the largest number of baskets he can make are 4

in each basket there will be

4 oranges 5 apples 8 pears

answer is 4 baskets