Mr Leon spent $60 on some apples, mangoes and pears in the ratio 3:5:2. The number of apples was twice the number of mangoes. The number of pears was 1/3 the number of apples. The mangoes were at 3 for $5. How many fruits did he buy altogether?
+36916 3:5:2 of 60 dollars means 18 dollars on apples 30 dollars on mangoes and 12 dollars on pears
if mangoes are 3 for 5 dollars ....that means 18 mangoes were purchases
apples = 2 * mangoes = 36 apples
pears = 1/3 apples = 12 pears Add them together for answer .......
amount spent on apples --- $ 3x
amount spent on mangoes -- $ 5x
amount spent on pears ---$ 2x
3x+5x+2x = 60
x = 6
"The mangoes were at 3 for $5", but he spent 5x or $30 on mangoes
at 3 for $5, there must have been 18 mangoes.
number of
apples : pears : mangoes = 2y : 2y/3 : y
= 6y : 2y : 3y
But we know the number of mangoes is 18
so 3y = 18, y = 6
so we have 36 apples, 12 pears and 18 mangoes
check:
twice as many apples as mangoes ?? Yes
The number of pears was 1/3 the number of apples ?? , YES
Let the number of apples Mr Leon buy
Given the number of pears was 1/3 the
apples.
The number of pears = 1/3x.
Given the number of apples was twice the number of
Mangoes.
Number of mangoes = x/2.
Mr Leon spent $60 on some apples, mangoes and
pears in the ratio 3:5:2.
It means he spent $3y on apples, $5y on mangoes
and $2y on pears .
=> $3y + $5y + $2y = $60
=> $10y = $60
=> y = 6
He spend $18 on apples, $30 on mangoes
and $12 on pears.
Given mangoes were of 3 for $5
In $30 he can by 6*3=18 mangoes.
It means the number of mangoes he bought = 18.
Since, the number of mangoes = x/2
=> x/2 = 18 => x = 36
It means the number of apples he bought = 36
The number of pears he bought = 36/3 = 12
The total number of fruit he bought = 18 + 36 + 12
= 66.
He bought 66 fruits altogether.
