If 30 meals cost $152.50 and 60 meals cost $250, what is the membership fee and fixed rate?

Answer 1

Membership fee=$55
Fixed rate=$3.25

Determine variables for the membership fee and the fixed rate of meals.

m=membership fee
f=fixed rate

So,

m+30f=152.50
m+30f-152.5=0

And

m+60f=250
m+60f-250=0

Therefore,

m+30f-152.5=m+60f-250

And solve.

The m's cancel out.

30f-152.5=60f-250

Get all f's to one side and add 250 to both sides.

30f=97.5

Divide by 30.

f=3.25

Now plug that into one of the original equations to find m.

m+30(3.25)=152.5

m=55.

Answer 2

x - membership fee
a - cost of meal

30* a + x = 152.50 x = 152.50 - 30 * a
60* a + x = 250 x = 250 - 60 * a
152.50 - 30 *a = 250 - 60 * a
60 * a - 30 * a = 250 - 152.50
30 * a = 97.50
a = 97.50 / 30 = 3.25

x = 152.50 - 30 * 3.25
x = 55

Answer 3

Membership fee = $55
Meal Cost = $3.25

30*3.25+55 = 152.50
60*3.25+55 = 250

Answer 4

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Answer 5

fixed rate = $3.25
membership fee = $55