Jamian bought a total of 35 bagels and donuts for a morning meeting. He paid a total of $36.25. Each donut cost $0.75 and each b agel cost $1.25. The system of equations below models this situation, where b is the number of bagels and d is the number of donuts. How many of each did Jamian buy?
1 answer:
Answer: Jamian bought 20 bagels and 15 donuts
Step-by-step explanation:
Using the equation below:
b + d = 35 ...... i
1.25b + 0.75d = 36.25 ....... ii
Multiply i by 1.25
Multiply ii by 1
1.25b + 1.25d = 43.75 ...... iii
1.25b + 0.75d = 36.25 ....... iv
Subtract iv from iii
0.50d = 7.50
d = 7.50 / 0.50
d = 15
Since b + d = 35
b = 35 - 15
b = 20
Jamian bought 20 bagels and 15 donuts
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