An adult pass for a county fair costs $2 more than a children’s pass. When 378 adult and 214 children’s passes were sold, the total revenue was $2,348. Find the cost of an adult pass.​

Respuesta :

A= C + 2

378A + 214C = 2384

An adults pass (A) cost two dollars ($2) more than a children’s pass (C).

378 adult passes and 224 children passes are sold. The revenue is 2384.

378(C+2) + 224C = 2384
378C + 2 x 378 + 214C = 2384
592C + 756 = 2384
593C = 2384 — 756 = 1628

C = 1628/592 = 11/4 = $2.75
A = $2.75 + $2 = $4.75

There are two equations with two unknowns.

In equation (1) A is already in terms of C so substitute equation (1) into equation (2) and solve for C.

Now that C is know, substitute C back into equation (1) to get A.

Results:

Adult’s cost: $4.75
Children cost: $2.75

brainliest??