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.

(a) Let x be the cost of one of Brian's items, then cost of all 4 items bought by Brian will be 4x.

We have been given that Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. The price of each item bought by Chris will be x+2.5. Therefore, the cost of all 3 items bought by Chris will be .

(b) We are told that Brian and Chris both paid the same amount of money, so we can equate costs of Brian's 4 items and Chris's 3 items as:

Now let us solve for x by distributing 3.

Therefore, cost of Brian's each item is $7.5.

Now let us find price of Chris's each item.

Therefore, cost of Chris's each item is $10.

(c) Now let us check our solution by substituting x=7.5 in .

We can see that both Brian and Chris spent equal amount of money that is $30, therefore, our solution is correct.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)