Question

Kate and Melisa both went to the same store to buy eggs and bread for their families. Kate bought 3 cartons of eggs and 5 loaves of bread; she spent $30.07. Melissa purchased 2 cartons of eggs and 2 loaves of bread; she spent $14.74. What is the store charging for a carton of eggs?

How can i represent this in a bar graph

Answer 1

The store is charging $3.39 for a carton of eggs.

Solution-

Let us assume that,

Price of each cartons of egg = x

Price of each loaves of bread = y

Kate bought 3 cartons of eggs and 5 loaves of bread and spent $30.07,

`\Rightarrow 3x+5y=30.07` --------------1

Melissa bought 2 cartons of eggs and 2 loaves of bread and spent $14.74,

`\Rightarrow 2x+2y=14.74`

`\Rightarrow x+y=(14.74)/(2)`

`\Rightarrow x+y=7.37`

`\Rightarrow y=7.37-x` ------------------2

Putting equation 2 in equation 1,

`\Rightarrow 3x+5(7.37-x)=30.07`

`\Rightarrow 3x+36.85-5x=30.07`

`\Rightarrow 3x-5x=30.07-36.85`

`\Rightarrow -2x=-6.78`

`\Rightarrow 2x=6.78`

`\Rightarrow x=(6.78)/(2)`

`\Rightarrow x=3.39`

Therefore, the price of a carton of egg is $3.39