+478 At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does one bagel cost?
+1950 We can write a system of equations to solve the problem.
Let b be bageld.
Let t be toast.
Let m be muffins.
We have the system
2T+1B=3.151M+1B=3.501T+2B+3M=8.15
We want to find what a bagel is. So, from the first two equations, we can isolate the other variables in terms of B.
We get
[3.15−B]/2=TM=3.50−B
Plugging this into the third and final solution, we find that
[3.15−B]/2+2B+3[3.50−B]=8.15[3.15−B]+4B+6[3.50−B]=16.30−3B+3.15+21=16.30−3B=16.30−3.15−21−3B=−7.85B=7.85/3≈$2.62
This is about 262 cents or 262.67
Thanks! :)
