In the cafeteria all sandwich are priced the same in all drinks are priced the same a customer ordered three sandwiches and two drinks for $14.70 another customer bought two sandwiches and four drinks for $13.80 find the cost of one sandwich and the cost of one drink

Cost of 1 sandwich = $3.9

Cost of 1 drink = $1.5

Step-by-step explanation:

Let us assume the cost of 1 sandwich  = $ m

And the cost of 1 drink   = $ n

Now, according to the question:

Cost of 3 sandwich + 2 drink = $14.7

⇒ 3 m  + 2 n  = $14.7 (1)

Cost of 2 sandwich + 4 drink = $13.8

⇒ 2 m  +  4 n  = $ 13.8 (2)

Solving both equation, we get:

Multiply (1) with -2 and add both equations, we get:

- 6 m - 4 n + 2 m + 4 n = 13 .8 -29.4

or, -4 m =  -15.6

or, m = 3.9  

Put m = 3.9   in  3 m  + 2 n  = $14.7, we get:

11.7 +  2 n = 14.7

2 n = 3 , or n = 1.5

Hence, cost of 1 sandwich  = $3.9

and the cost of 1 drink  = $1.5

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above