Answer:
1 toast costs $0.30 and 1 egg cost $0.60
Step-by-step explanation:
Let price of 1 egg be [tex]e[/tex] and price of 1 toast be [tex]t[/tex]
"$1.50 for 2 eggs and one piece of toast":
We can write [tex]2e+t=1.50[/tex]
"$.90 for one egg and one piece of toast":
We can write [tex]e+t=0.90[/tex]
Now, we can solve the first equation for t and substitute that into 2nd equation and solve for e:
[tex]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[/tex]
Now using the value of e (0.6) and putting it back in the first equation, we will get t:
[tex]2e+t=1.50\\2(0.6)+t=1.50\\1.2+t=1.50\\t=1.50-1.20\\t=0.30[/tex]
Hence, 1 toast costs $0.30 and 1 egg cost $0.60
