Question

A group of 12 students volunteers to collect litter for one day. A sponsor provides 3 juice drinks and 2 sandwiches for each student and pays $30 for trash bags. The sponsor's cost (in dollars) is given by the expression 12(3j + 2s) + 30 where j is the cost of a juice drink and s is the cost of a sandwich. A juice drink costs $1.25. A sandwich costs $2. What is the sponsor's cost?

Answer 1

Answer: $123

Explanation:

the sponsor's cost in dollars is given by the expression:

12(3j + 2s) + 30

j = cost of juice

s = cost of a sandwich.

the cost of a juice is $1.25, and the cost of a sandwich is $2.

so, we can plug these numbers into our equation, and solve!

sponsor's cost = 12(3(1.25)+2(2))+30

first, calculate what's inside the parentheses.

3 x 1.25 = 3.75

2 x 2 = 4

3.75 + 4 = 7.75. this your calculation INSIDE the parentheses!

now, we have to multiple this number by 12, because 12 is right next to the parentheses, unlike 30, which is going to be ADDED to our product of 12 and 7.75.

12 x 7.75 = 93.

now, we can add 93 to 30!

93 + 30 = 123

so, the sponsor's cost is $123.