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

Answer:

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

Step-by-step 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