Question

Abby bought two slices of pizza and two bottles of water for $7.25 Cameron bought four slices of pizza and one bottle of water for $8.25 what is the solutionm

Answer 1

The solution is price of 1 slice of pizza is $ 1.542 and price of 1 bottle of water is $ 2.083

Solution:

Let "p" be the price of 1 slice of pizza

Let "b" be the price of 1 bottle of water

Given that Abby bought two slices of pizza and two bottles of water for $7.25

So we can frame a equation as:

two slices of pizza x price of 1 slice of pizza + two bottles of water x price of 1 bottle of water = $ 7.25

$2 \times p + 2 \times b = 7.25$

2p + 2b = 7.25 ---- eqn 1

Also given that Cameron bought four slices of pizza and one bottle of water for $8.25

So we can frame a equation as:

four slices of pizza x price of 1 slice of pizza + one bottles of water x price of 1 bottle of water = $ 8.25

$4 \times p + 1 \times b = 8.25$

4p + b = 8.25 ---- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "p" and "b"

Multiply eqn 2 by 2

8p + 2b = 16.5 --- eqn 3

Subtract eqn 1 from eqn 3

8p + 2b = 16.5

2p + 2b = 7.25

(-) ----------------------

6p = 9.25

p = 1.542

From eqn 1,

2p + 2b = 7.25

2(1.542) + 2b = 7.25

2b = 4.166

b = 2.083

Thus price of 1 slice of pizza is $ 1.542 and price of 1 bottle of water is $ 2.083