Respuesta :
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
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.
[tex]w=2h[/tex] ...(1)
The price of a T-shirt at the shop is $4 less than the price of a pair of shorts.
[tex]t=h-4[/tex] ....(2)
Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total cost of $136.
[tex]3w+2h+5t=136[/tex] .....(3)
Substituting the values of w and t in (3)
[tex]3(2h)+2h+5(h-4)=136[/tex]
=> [tex]6h+2h+5h-20=136[/tex]
=> [tex]13h=136+20[/tex]
=> [tex]13h=156[/tex]
h = 12
t = h-4
[tex]t=12-4=8[/tex]
t = 8
w = 2h
[tex]w=2\times12=24[/tex]
w = 24
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So, the cost of a sweatshirt is $24.
The cost of a t shirt is $8
The cost of shorts is $12
