A student athlete has decided to Bulk Up before the wrestlin

A student athlete has decided to \"Bulk Up\" before the wrestling season by supplementing his weekly diet with an additional 325 grams of protein, 185 grams of fiber, and 110 grams of fat. A hamburger consists of 20 grams of protein, 10 grams of fiber, and 5 grams of fat. A cheeseburger contains 25 grams of protein, 10 grams of fiber, and 5 grams of fat. A sloppy joe contains 20 grams of protein, 15 grams of fiber, and 10 grams of fat. How many of each type of food should the wrestler eat each week to meet his goal? Let h be the number of hamburgers, c be the number of cheeseburgers, and s be the number of sloppy joes the wrestler eats each week. Set up a system of equations which can be used to solve this problem. You do not have to solve your system of equations.

Solution

No. of hamburgers be --

hamburger : 20gm protein ; 10 gm fibre ; 5gm fat

20h , 10h , 5h

No. of cheese burgers -----c

cheese burgers : 25gm protein ; 10 gm fibre ; 5gm fat

25c , 10c , 5c

No. of sloppy joes ----s

sloppy joes :  20 gm protein ; 15 gm fibre ; 10 gm fat

20s , 15s , 10s

Weekly Diet : 325 gm protein ; 185 gm fibre ; 110 gm of fat

20 h +25c +20s = 325 ----(1)

10h +10c +15s = 185 -----(2)

5h +5c + 10s = 110 ----(3)

Solve the abov equation to get the solution :

No. of hamburgers h = 3

No. of cheese burgers c= 5

No. of sloppy joes s = 7