Answer:
There are 48 peaches, 144 pears, 96 plums and 72 apples.
Step-by-step explanation:
Since there's a total of 360 pieces of fruits and there are pears, apples, plums and peaches. We have:
pears + apples + plums + peaches = 360 (1)
Since there's twice as many pears as apples:
pears = 2*apples (2)
Since there's twice as many plums as peaches:
plums = 2*peaches (3)
Since theres 50% more apples than peaches:
apples = 1.5*peaches (4)
If we use the equation (4) in the equation (2) we have:
pears = 2*(1.5*peaches) = 3*peaches (5)
If we use the equations (3),(4) and (5) on the equation (1), we have:
(3*peaches) + 1.5*peaches + 2*peaches + peaches = 360
7.5*peaches = 360
peaches = 360/7.5 = 48
From equation (5):
pears = 3*48 = 144
From equation (3):
plums = 2*48 = 96
From equation (4):
apples = 1.5*48 = 72
