Amy and Mike are going to an amusement park. They each bought ice cream, and Mike got a soda. Amy had a $10 coupon to put toward the cost, and Mike paid the rest, which came to $30.25. Admission for one person costs $18.00, and ice cream costs $1.50. How much does a soda cost at the amusement park?
A. $1.25
B. $1.50
C. $0.75
D. $2.10

Question

Amy and Mike are going to an amusement park. They each bought ice cream, and Mike got a soda. Amy had a $10 coupon to put toward the cost, and Mike paid the rest, which came to $30.25. Admission for one person costs $18.00, and ice cream costs $1.50. How much does a soda cost at the amusement park?
A. $1.25
B. $1.50
C. $0.75
D. $2.10

zepdrix · Answer

So everything that they did came out to a TOTAL of 30.25.
So we're going to setup an equation, involving everything they spend money on, and we'll set it equal to our total.

$$\huge 2I+S+2A-10=30.25$$$$I =ice \; cream \qquad S=soda \qquad A=admission \; cost$$They EACH purchased ice cream, so we have 2 ice creams. Only Mike got soda, so we have one soda (one S).

There is also a -10, because we're SUBTRACTING $10 from what our total that we have to pay, due to the coupon.

Understand how I was able to setup this equation? :D

zepdrix · Answer

From here, you simply plug in the prices that they gave you.
They gave you the cost of ice cream, and admissions.
We should be able to solve for S by doing a little bit of math.

mathlegend · Answer

@zepdrix What an amazing explanation!

anonymous · Answer

so is it b?

zepdrix · Answer

I think it's a.

anonymous · Answer

alright, thank yoou!