Question

shirley owns a diner. she decides to charge $1.50 for 2 egga and one piece of toast a $.90 for one egg and one piece of toast. write and solve a system of equations to determine the cost of 1 egg and the cost of 1 piece of toast

Answer 1

1 toast costs $0.30 and 1 egg cost $0.60

Explanation:

Let price of 1 egg be
`e` and price of 1 toast be
`t`

"$1.50 for 2 eggs and one piece of toast":

We can write
`2e+t=1.50`

"$.90 for one egg and one piece of toast":

We can write
`e+t=0.90`

Now, we can solve the first equation for t and substitute that into 2nd equation and solve for e:

`t=1.50-2e\\Also\\e+t=0.90\\Substituting:\\e+(1.50-2e)=0.90\\e+1.50-2e=0.90\\-e=0.90-1.50\\-e=-0.6\\e=0.6`

Now using the value of e (0.6) and putting it back in the first equation, we will get t:

`2e+t=1.50\\2(0.6)+t=1.50\\1.2+t=1.50\\t=1.50-1.20\\t=0.30`

Hence, 1 toast costs $0.30 and 1 egg cost $0.60