Let us assume Brian's one item cost = $ x.
Chris one item cost is $2.50 more than Brian’s items each cost.
Therefore, Chris one item cost is = $(x+2.50).
Total cost of Brian's 4 items = 4*x = 4x.
Total cost of Chris's 3 itmes = 3*(x+2.50) =3(x+2.50)
It is said that Brian and Chris both paid the same amount of money.
Therefore,
Total cost of Brian's 4 items = Total cost of Chris's 3 itmes.
a) We can setup an equation now,
4x = 3(x+2.50), where x represent the cost of one of Brian's items.
b) Let us solve above equation for x.
4x = 3(x+2.50)
distributing 3 over (x+2.50), we get
4x = 3x + 7.50.
Subtracting 3x from both sides we get
4x-3x = 3x-3x =7.50.
x = 7.50.
Therefore, the cost of one of Brian's items = $7.50.
Chris one item cost is $2.50 more than Brian’s items each cost.
Chris one item cost is = 7.50 +2.50 = $10.00.
c) Plugging x=7.50 in the equation we get to check the solution.
4x = 3(x+2.50)
4(7.50) = 3(7.50+2.50).
30 = 3(10.00)
30=30.
Therefore, solution x=7.50 is correct.
d) The cost of one of Brian's items is $7.50 and Chris's one item cost is $10.00.
