The price of a sweatshirt at a local shop is twice the price of a pair of shorts. The price of a T-shirt at the shop is $4 less than t

Question

The price of a sweatshirt at a local shop is twice the price of a pair of shorts.
The price of a T-shirt at the shop is $4 less than the price of a pair of shorts.
Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total
cost of $136.

1. Let w represent the price of one sweatshirt, t represent the price of one Tshirt, and h represent the price of one pair of shorts. Write a system of three
equations that represents the prices of the clothing.

2. Solve the system. Find the cost of each item.

in progress 0
Iris 18 mins 2021-09-13T12:58:44+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T12:59:56+00:00

    Answer:

    The cost of sweatshirt is 12$

    Step-by-step explanation:

    so we are going to make 3 equations and solve it using the substation method

    First- We know the price of the shirt is two times more so w = 2h

    Second we know that the the tee shirt is 4 dollars less then the pair of shoes so t = h − 4

    Third we take the combined of Brads purchases 3w + 5t + 2h =136

    w = 2h

    t = h − 4

    3w + 2h + 5t = 136

    So to solve we are going to to the sub method

    3(2h) + 2h + 5(h-4) = 136 – just re written, now we get rid of the ( )

    6h + 2h + 5h -20 = 136 – Now we need to move the -20 and add it too 136

    6h + 2h + 5h = 156 – Now sum up the H’s

    13h = 156 – Now divide 13 by 156

    h= 12

    so the Cost of a sweatshirt is 12 dollars

    0
    2021-09-13T13:00:00+00:00

    Answer:

    The cost of a sweatshirt is $24.

    The cost of a t shirt is $8

    The cost of shorts is $12

    Step-by-step explanation:

    Let w represent the price of one sweatshirt

    Let t represent the price of one Tshirt

    Let h represent the price of one pair of shorts

    The price of a sweatshirt at a local shop is twice the price of a pair of shorts.

    w=2h    …(1)

    The price of a T-shirt at the shop is $4 less than the price of a pair of shorts.

    t=h-4    ….(2)

    Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total cost of $136.

    3w+2h+5t=136    …..(3)

    Substituting the values of w and t in (3)

    3(2h)+2h+5(h-4)=136

    => 6h+2h+5h-20=136

    => 13h=136+20

    => 13h=156

    h = 12

    t = h-4

    t=12-4=8

    t = 8

    w = 2h

    w=2\times12=24

    w = 24

    ———————————————————————————–

    So, the cost of a sweatshirt is $24.

    The cost of a t shirt is $8

    The cost of shorts is $12

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