Juan writes the expression below to determine the total cost of 1 sandwich and n side dishes. 10 . 50 + 1 . 50 ( n − 1 ) Juan orders a sandwich and the same number of side dishes each of the five days this week. All together, Juan pays $75 for these 5 lunches. Write an equation that can be used to find the number of side dishes Juan orders for lunch this week.

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

Step-by-step explanation:

The total cost is given by

TC= 10 . 50 + 1 . 50 ( n − 1 )

She orders same 5 lunches for $ 75

$ 75= 5{ 10 . 50 + 1 . 50 ( n − 1 ) }

Or

Cost of 1 lunch would be $ 15

$ 75/5 = { 10 . 50 + 1 . 50 ( n − 1 ) }

or

$ 15 = 10 . 50 + 1 . 50 ( n − 1 )

$ 15-$  10 . 50 = 1 . 50 ( n − 1 )  

$ 4.5/ 1.5= n-1

$ 3= n-1

3+1= n

n= 4

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

She spent

$ 1.50 ( 4-1) = $ 4.5 each day or $22.5 on side dishes for 5 days.

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