Question

Find the number 2 The cost of two pairs of jeans and three t-shirts is 1350. If a pair of jeans costs 50 more than the t-shirt, find the cost of a pair of jeans and the t-shirt.​

Answer 1

Answer:

Cost of a pair of jeans = Rs. 300

Cost of the t-shirt = Rs. 250

Step-by-step explanation:

As per the provided information in the given question, we have :

• Cost of the two pairs of jeans and three t-shirts = Rs. 1350
• Cost of 1 pair of jeans = 50 more than the T-shirt

We are asked to calculate the cost of a pair of jeans and the t-shirt.

Let us suppose the cost of a pair of jeans as x and the cost of the t-shirt as y.

Now, according to the question, the cost of two pairs of jeans and three t-shirts is 1350. Writing it in the form of a linear equation,

$\longmapsto\rm {2x + 3y = 1350\bf {\dots (1) } }$

• x is the cost of a pair of jeans.
• y is the cost of the t-shirt.

Also, according to the question, a pair of jeans costs 50 more than the t-shirt. Writing it in the form of a linear equation,

$\longmapsto\rm {x = 50 + y\bf {\dots (2) } }$

• x is the cost of a pair of jeans.
• y is the cost of the t-shirt.

Substitute the value of x from equation (2) to equation (1). In the equation (1), we have :

$\longmapsto\rm {2x + 3y = 1350}$

Substitute the another expression of x as.

$\longmapsto\rm {2(50 + y) + 3y = 1350}$

Performing multiplication and removing the brackets.

$\longmapsto\rm {100 + 2y + 3y = 1350}$

Performing addition in L.H.S.

$\longmapsto\rm {100 + 5y = 1350}$

Transposing 100 from L.H.S to R.H.S. Its sign will get changed.

$\longmapsto\rm {5y = 1350 - 100}$

Performing subtraction in R.H.S.

$\longmapsto\rm {5y = 1250}$

Transposing 5 from L.H.S to R.H.S. Its arithmetic operator will get changed.

$\longmapsto\rm {y =\dfrac{ 1250}{5} }$

Dividing 1250 by 5.

$\longmapsto\bf {y = 250}$

Henceforth, the cost of the t-shirt is Rs. 250.

Now, substitute the value of y in the equation (2) to find the value of x.

$\longmapsto\bf {x = 50 + y }$

On substituting the value of y,

$\longmapsto\rm {x = 50 + 250 }$

Performing the addition in R.H.S.

$\longmapsto\bf {x = 300 }$

Henceforth, the cost of a pair of jeans is Rs. 300.

∴ The the cost of a pair of jeans is Rs. 300 and the t-shirt is Rs. 250.

Answer 2

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