Question

Brian and Chris went together to Target to find party favors for a birthday party they are throwing together. Brian found 4 items that cost the same amount. Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. Brian and Chris both paid the same amount of money. What was the individual cost of each person's items?

(a) Write an equation. Let x represent the cost of one of Brian's items.

(b) Solve the equation. Show your work.

(c) Check your solution. Show your work.

(d) State the solution in complete sentences.

Answer 1

Brians is $7.50 and chris is $10.00!

I'm sorry I don't have the math but I submitted the assignment and got a 100!

Answer 2

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.