Question

Aaron but a bagel and 3 muffins for $7.25. Bea bought a bagel and 2 muffins for $6. How much is a bagel and how much is a muffin

Answer 1

The cost of each bagel is $3.50 and the cost of each muffin is $1.25

Explanation:

Let

x ----> the cost of each bagel

y ---> the cost of each muffin

we know that

Aaron

`x+3y=7.25` ----> equation A

Bea

`x+2y=6` ----> equation B

Solve the system of equations by elimination

Subtract equation B from equation A

`x+3y=7.25\\-[x+2y=6]\\------------\\3y-2y=7.25-6\\y=1.25`

Find the value of x

substitute the value of y in equation A or equation B

`x+2(1.25)=6\\x=6-2.50\\x=3.50`

therefore

The cost of each bagel is $3.50 and the cost of each muffin is $1.25