SOLUTION: Mrs. Miller is having a barbeque for the 6th grade. The number of hot dogs served will be four more than the number of hamburgers. The number of popsicles will be twice the numbe

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Mrs. Miller is having a barbeque for the 6th grade. The number of hot dogs served will be four more than the number of hamburgers. The number of popsicles will be twice the numbe      Log On


   



Question 1083764: Mrs. Miller is having a barbeque for the 6th grade.
The number of hot dogs served will be four more than the number of hamburgers.
The number of popsicles will be twice the number of hamburgers.
If there are 76 food items at the barbeque, how many hamburgers will be served?

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
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d Hot Dogs
b HamBurgers
p Popsicles

system%28d=4%2Bb%2Cp=2b%2Cd%2Bb%2Bp=76%29

Notice that d and p are described in terms of b.
4%2Bb%2Bb%2B2b=76
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.
.
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Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Mrs. Miller is having a barbeque for the 6th grade.
The number of hot dogs served will be four more than the number of hamburgers.
The number of popsicles will be twice the number of hamburgers.
If there are 76 food items at the barbeque, how many hamburgers will be served?
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Let H be the number of hamburgers.

Then the number of hot dogs is (H+4), according to the condition.

Next, the number of popsicles is 2H.

In total, you have this equation

H + (H+4) + 2H = 76.


Solve it and find H.


Then calculate the number of other items.

Ignore writing by "josgarithmetic" which is WRONG.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Mrs. Miller is having a barbeque for the 6th grade.
The number of hot dogs served will be four more than the number of hamburgers.
The number of popsicles will be twice the number of hamburgers.
If there are 76 food items at the barbeque, how many hamburgers will be served?
highlight_green%28matrix%281%2C4%2C+Number%2C+of%2C+%22hamburgers%3A%22%2C+18%29%29