Question

Assume that the price of a combo meal is the same price as purchasing each item separately. Find the price of a pizza, a coke, and a bag of chips.

Answer 1

Answer:

pizza: $4, coke: $3, chips: $2

Step-by-step explanation:

Lets make the price of a pizza=p a coke= k and a bag of chips=c

then we have the following equations

p+k+c=9

p+2k=10

2p+2c=12

Because p is common in all the equations we shall make it the subject of each equation.

p=9-(k+c)...........i

p=10-2k..............ii

p=6-c...................iii

We then equate i and iii

9-(k+c)=6-c

9-k-c=6-c

putting like terms together we get:

9-6=-c+c+k

1 coke, k=$3

replacing this value in equation ii

we get  p=10-2(3)

p=10-6= 4

1 pizza, p=$4

replacing this value in equation iii

4=6-c

c=6-4

=2

a bag of chips, c=$2

Thus, a pizza, a coke and a bag of chips= pizza: $4, coke: $3, chips: $2