system of equations

Question

if a sandwich is 4g of fat and 280 cal / and another sandwich has 5 grams of fat and 320 calories how many of each sandwich could he eat with a 1480 cal and 22 grams of fat diet...

Answer 1

Let us assign x and y value to the equation

1. 4x+5Y=22

2. 280x+320y=1480

Multiply the first equation by 70

3. 280x +350y=1540

Subtract equation 2 from 3

4. 0x+ 30y=60

5.           y=60/30

6.           y=2

Substituting this in Equation 1

7. 4x+5.2=22

8.  4x=22-10

9.  4x=12

10.  x=12/4

11.   x=3

He should eat 3 sandwiches of the 4 g fat and 2 sandwiches of the 5 g fat for a total of 1480 cal and 22 grams of fat.

Check:

Grams   4.3+5.2=22

             12+10=22

 

Calories 280.3+320.2=1480

                840+640=1480