Answer:
1 toast costs $0.30 and 1 egg cost $0.60
Step-by-step explanation:
Let price of 1 egg be
and price of 1 toast be ![t](https://tex.z-dn.net/?f=t)
<u>"$1.50 for 2 eggs and one piece of toast":</u>
We can write ![2e+t=1.50](https://tex.z-dn.net/?f=2e%2Bt%3D1.50)
<u>"$.90 for one egg and one piece of toast":</u>
We can write ![e+t=0.90](https://tex.z-dn.net/?f=e%2Bt%3D0.90)
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](https://tex.z-dn.net/?f=t%3D1.50-2e%5C%5CAlso%5C%5Ce%2Bt%3D0.90%5C%5CSubstituting%3A%5C%5Ce%2B%281.50-2e%29%3D0.90%5C%5Ce%2B1.50-2e%3D0.90%5C%5C-e%3D0.90-1.50%5C%5C-e%3D-0.6%5C%5Ce%3D0.6)
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](https://tex.z-dn.net/?f=2e%2Bt%3D1.50%5C%5C2%280.6%29%2Bt%3D1.50%5C%5C1.2%2Bt%3D1.50%5C%5Ct%3D1.50-1.20%5C%5Ct%3D0.30)
Hence, 1 toast costs $0.30 and 1 egg cost $0.60