+0

# help me plz

0
6
1

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15.  Gary orders a bagel and four muffins, which comes out to 7.85.  Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75.  How many cents does one bagel cost?

Oct 28, 2023

#1
0

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15.  Gary orders a bagel and four muffins, which comes out to 7.85.  Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75.  How many cents does one bagel cost?

wiseowl, what's up with the about a million postings?  Is this your homework or what?

T is for toast

B is for bagel

M is for muffin

2T + B  =  315    (I'm using cents because the answer will be in cents.)

B + 4M  =  785

T + 2B + 3M  =  975

from 1st equation              2T = (315 – B)   so   T = (315 – B) / 2

from 2nd equation             4M = (785 – B)   so   M = (785 – B) / 4

Now we have T and M in terms of B so substitute it into the 3rd equation.

(315 – B)           2B          3 • (785 – B)

––––––––   +   ––––   +   ––––––––––  =  975

2                  1                    4

Let's get rid of those denominators by multiplying both sides times 4.

2 • (315 – B)  +  4 • 2B  +  1 • 3 • (785 – B)  =  4 • 975

Multiply it out                       (630 – 2B)  +  8B  +  (2355 – 3B)  =  3900

Combine like terms              3B  =  915

B  =  305  ......  One bagel costs 305 ¢

Plugging into original equations, a toast costs 5¢ and a muffin costs 120¢

.

Oct 28, 2023