Question

Someone buys 4 drinks and 2 sandwiches that equals them $32.50. Each drink is $3.50 more than popcorn. How much does each drink cost?

Answer 1

Answer:

The cost of each drink is $6.58

Step-by-step explanation:

The correct question is

Someone buys 4 drinks and 2 popcorn and spent a total of $32.50. Each drink is $3.50 more than a popcorn. How much does each drink cost?

Let

x ----> the cost of each drink

y ----> the cost of each popcorn

so

$4x+2y=32.50$ ----> equation A

$x=y+3.50$

isolate the variable y

$y=x-3.50$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$4x+2(x-3.50)=32.50$

solve for x

$4x+2x-7=32.50\\6x=32.50+7\\6x=39.50\\x=6.58$

therefore

The cost of each drink is $6.58