Respuesta :
Answer:
Each shirt costs 10$ cause there is a 10 $ difference between the two brothers and the only thing the older brother didn't buy was another shirt.
Have a great day. Brainliest always helps!!!
The cost of one shirt is $10.
Total Cost
The total cost of an item is the product of its cost per unit and the number of units bought.
[tex]\rm{Total\ revenue = (Cost/item) \times Number\ of\ units\ sold}[/tex]
Given to us
- The younger brother spent $175 on 7 new shirts and 7 pairs of shorts.
- The older brother spent $165 on 6 new shirts and 7 pairs of shorts.
Assumption
Let the cost of the shirt be x, and the cost of a pair of shorts be y.
Younger Brother
The total cost of the shirts for younger brother
= Number of shirts x Price of shirt
= [tex]7\times x[/tex]
= [tex]7 x[/tex]
The total cost of the shorts for younger brother
= Number of shorts x Price of shorts
= [tex]7\times y[/tex]
= [tex]7y[/tex]
Total Cost of younger brother = cost of all shirts + cost of all shorts
[tex]\$175 = 7x + 7y\\175 = 7(x+y)\\\dfrac{175}{7} = x+y\\x+ y =\dfrac{175}{7} \\x+y=25\\y = 25-x[/tex]
Older Brother
The total cost of the shirts for Older brother
= Number of shirts x Price of shirt
= [tex]6\times x[/tex]
= [tex]6x[/tex]
The total cost of the shorts for Older brother
= Number of shorts x Price of shorts
= [tex]7\times y[/tex]
= [tex]7y[/tex]
Total Cost of older brother = cost of all shirts + cost of all shorts
[tex]\$165 = 6x + 7y\\[/tex]
Substituting the value of y,
[tex]165 = 6x + 7(25-x)\\165 = 6x + 175 - 7x\\165-175 = 6x-7x\\-10 = -x\\x=10[/tex]
Hence, the cost of one shirt is $10.
Learn more about Cost and Price:
https://brainly.com/question/962043
