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

Answer:

1 toast costs $0.30 and 1 egg cost $0.60

Step-by-step 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