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# Alan orders a hot dog and fries for \$1.60. Max orders fries and a small drink for \$1.65. Jenny orders a small drink and a hot dog for \$1.75. What is the cost o

Alan orders a hot dog and fries for \$1.60. Max orders fries and a small drink for \$1.65. Jenny orders a small drink and a hot dog for \$1.75.

What is the cost of the fries? Show your work. Explain your thinking.

### 1 Answer by Expert Tutors

Weicheng C. | Math Tutor (any levels)Math Tutor (any levels)
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First, since we do not know what the costs are for a hot dog, fries, and a small drink, we will just use a,b,c represented the cost for each of the item.

a = cost of a hot dog
b= cost of the fries
c = cost of a small drink

From all the information that you get from the questions, you can get the following relations for a,b,c.
a+b=1.6
b+c=1.65
c+a=1.75

then you can solve for a, b, and c

add the first equation to second equation, we will get
2a+b+c=1.6+1.75=3.35
from the second equation, you know that b+c=1.65
so 2a+(b+c)=2a+1.65=3.35
therefore 2a = 1.7
Thus
You will get a = 0.85