For the following situation set up a system of equations

Question

a) For the following situation set up a system of equations: A box of chocolates contains Crunchies, Turkish Delights and Flakes. There are 20 chocolates in the box and there are 7 more Crunchies than Flakes. There are four times as many Crunchies as Turkish Delights.

b) Solve this system of equations using matrices.

Answer 1

C+T+F = 20

C=4T

F=C-7=4T-7

4T + T + 4T-7 = 20

9T =27

T =3

C=12

F=5

12+3+5 = 20

C T F

1 1 1 20

1 -4 0 0

1 0 -1 7

1 0 0 12

0 1 0 3

0 0 1 5