5) At a local diner, each hamburger has 50 more calories than each order of fries. If two hamburgers and three orders of fries have a total of 1700 calories, how many calories does one hamburger have?

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28-10-2022
Mathematics

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5) At a local diner, each hamburger has 50 more calories than each order of fries. If two hamburgers and three orders of fries have a total of 1700 calories, how many calories does one hamburger have?

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AiryannaJ642119 AiryannaJ642119 · Answer 1 · 2022-10-28T19:59:06+02:00

Each hamburguer has 50 more calories than each order of fries.

We can write this as:

[tex]H=F+50[/tex]

being H: calories of the hamburguer, F: calories of the fries.

Two hamburguers and three order of fries have a total of 1700 calories. We can write this as:

[tex]2H+3F=1700[/tex]

As we need to solve this for H, we clear F from the first equation, and replace it in the second equation, and solve for H:

[tex]F=H-50[/tex][tex]\begin{gathered} 2H+3F=2H+3(H-50)=1700 \\ 2H+3H-3\cdot50=1700 \\ 5H-150=1700 \\ 5H=1700+150 \\ 5H=1850 \\ H=\frac{1850}{5} \\ H=370 \end{gathered}[/tex]

The hamburguer has 370 calories.