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Anastasy [175]
3 years ago
10

Tarun has 4 more than the twice the number of tshirts Deepak has.Mahesh has 2 more than thrice the number of T-shirts that Tarun

has.If the ratio is 6:7 find the number of T-shirts each of them has.
Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

Deepak: 4 t-shirts,

Tarun: 12 t-shirts,

Mahesh: 14 t-shirts.

Step-by-step explanation:

Let x represent number of t-shirts that Deepak has.

Please consider the complete question.

Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has. Mahesh has 2 more than thrice the number of T-shirts Deepak has. If the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, find out the number of the t-shirt each of them has.​

Since Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has, so the number of t-shirts that Tarun has would be 2x+4.

We are also told that Mahesh has 2 more than thrice the number of T-shirts Deepak has. So the number of t-shirts that Mahesh has would be 3x+2.

Since the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, so we can represent this information in an equation as:

\frac{2x+4}{3x+2}=\frac{6}{7}  

Cross multiply:

6(3x+2)=7(2x+4)

18x+12=14x+28

18x-14x+12-12=14x-14x+28-12

4x=16

x=\frac{16}{4}=4

Therefore, Deepak has 4 t-shirts.

The number of t-shirts that Tarun has would be 2x+4\Rightarrow 2(4)+4=4+4=12

Therefore, Tarun has 12 t-shirts.

The number of t-shirts that Mahesh has would be 3x+2\Rightarrow 3(4)+2=12+2=14

Therefore, Mahesh has 14 t-shirts.

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