3/16 of the fruits at a stall are pears. 1/4 of the remaining fruits are oranges. The rest are apples. If there are 585 apples, how many fruits are at the stall??(please help me with a specific primary 5 way as my nephew is primary five)
3/16 of the fruits at a stall are pears. 1/4 of the remaining fruits are oranges. The rest are apples. If there are 585 apples, how many fruits are at the stall??
f = fruits p = pears o = oranges a = apples
(1) p=f⋅316
(2) o=(f−p)14 or o=(f−f316)⋅14=f1316⋅14=f⋅1364
(3) f=o+p+a
a=585f=o+p+585f=o+p+585|o=f⋅1364p=f⋅316f=f⋅1364+f⋅316+585f−f⋅1364−f⋅316=585f(1−1364−316)=585f(64−13−3⋅464)=585f⋅3964=585f=585⋅6439f=960
At the stall are 960 fruits.
pears = 960 * (3/16) = 180
oranges = (960-180)/4 = 195
apples = 960 - 180 - 195 = 585 ( okay )
all fruits together: x => 1040
pears : 3/16 * x => 195
oranges : 1/4 * x => 260
apples : 585 => 585
3/16 of the fruits at a stall are pears. 1/4 of the remaining fruits are oranges. The rest are apples. If there are 585 apples, how many fruits are at the stall??
f = fruits p = pears o = oranges a = apples
(1) p=f⋅316
(2) o=(f−p)14 or o=(f−f316)⋅14=f1316⋅14=f⋅1364
(3) f=o+p+a
a=585f=o+p+585f=o+p+585|o=f⋅1364p=f⋅316f=f⋅1364+f⋅316+585f−f⋅1364−f⋅316=585f(1−1364−316)=585f(64−13−3⋅464)=585f⋅3964=585f=585⋅6439f=960
At the stall are 960 fruits.
pears = 960 * (3/16) = 180
oranges = (960-180)/4 = 195
apples = 960 - 180 - 195 = 585 ( okay )