SOLUTION: �Roger bought hamburgers at a cost of $9 per dozen and bagels at a cost of $3 per dozen. He bought a total of 45 dozens and paid a total of $225. How many dozens of hamburgers and

Question 534284: �Roger bought hamburgers at a cost of $9 per dozen and bagels at a cost of $3 per dozen. He bought a total of 45 dozens and paid a total of $225. How many dozens of hamburgers and how many dozens of bagels did he buy?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
h = number of dozens of hamburgers
9h = cost of the hamburgers
b = number of dozens of bagels
3b = cost of the bagels
.
h + b = 45
so
h = 45-b
and
b = 45-h
.
9h + 3b = 225
.
Multiply the first equation by 3.
.
3h + 3b = 135
9h + 3b = 225
--------------
-6h = -90
.
h = -90/-6
h = 15
.
b = 45-15
b = 30
.
Answer: 15 dozen hamburgers and 30 dozen bagels.
.
Check the cost.
15*9 + 30*3 = 225
Correct.
.
Done.
RELATED QUESTIONS
A grocer bought a case of orange which contains 12 dozens of orange for Rs. 108.00. He... (answered by josgarithmetic)

the roses cost $15 per dozen and the carnations cost $8 per dozen. shereda bought a total (answered by mananth,Alan3354)

for a wedding, mia bought several dozen of roses and several dozen carnations. the roses (answered by checkley71)

Ballpoint pens cost $1.50 a dozen for the first two hundred dozen a store buys from a... (answered by mananth)

Ballpoint pens cost $1.50 a dozen for the first two hundred dozen a store buys from a... (answered by mananth,greenestamps)

Problem: For a wedding, Shereda bought several dozen roses and several dozen carnations. (answered by richwmiller)

For a wedding, Shereda bought several dozen roses and several dozen carnations. The roses (answered by blwinbbbles)

Hello I'm really confused on my homework problem, it's: For a wedding, Shereda bought... (answered by stanbon,josmiceli,richwmiller,lynnlo)

Carnations cost $23.75 per dozen, and roses cost $69.95 per dozen. The florist sold a... (answered by checkley77)