Question

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 bagel 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?

b+d=35
1.25b+0.75d=36.25

Answer 1

Answer: Jamian bought 20 bagels and 15 donuts

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