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

Question

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.

in progress 0
Julia 3 months 2021-10-19T20:53:12+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-19T20:54:26+00:00

    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.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )