Maths-
General
Easy
Question
At a Clothing Store , 3 shirts and 8 hats costs $65.The Cost for 2 shirts and 2 Hats is $30.How much does each shirt and hat cost ?
Hint:
HINT: Frame proper equations and then solve.
The correct answer is: cost of one hat = $4
Complete step by step solution:
Let's denote the cost of one shirt = s
And let the cost of one hat = h
Let 3s + 8h=$65…(i)
and 2s + 2h=$30….(ii)
On multiplying (ii) with 4, we get 4(2s + 2h = $30)
⇒ 8s + 8h = $120…(iii)
Now, we have the coefficients of h in (i) and (iii) to be the same.
On subtracting (i) from (iii),
we get LHS to be 8s + 8h - (3s + 8h) = 8s - 3s = 5s
and RHS to be 120 - 65 = 55
On equating LHS and RHS, we have 5s = 55
⇒ s = 11
On substituting the value of s in (ii), we get 2×11 + 2h = 30
⇒ 22 + 2h = 30
⇒ 2h = 30 - 22
⇒ 2h = 8
⇒h = 4
Hence we get h = 4 and s = 11
Hence cost of one shirt = $11
and cost of one hat = $4
Note: We can also solve these system of equations by making the coefficients of
to be the same in both the equations.
Hence we get h = 4 and s = 11
Hence cost of one shirt = $11
and cost of one hat = $4
Note: We can also solve these system of equations by making the coefficients of
to be the same in both the equations.
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