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# Up, down one. Up, down two. Up, down three.

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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?

Oct 5, 2021

#1
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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 .......

Oct 5, 2021
#2
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66 fruits altogether.

Guest Oct 5, 2021
edited by Guest  Oct 5, 2021
edited by Guest  Oct 5, 2021
#3
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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

Oct 5, 2021
#4
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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.

Oct 6, 2021