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You have to set up two equations. Let 'X' be the price of Hamburgers and 'Y' be the price of Hot Dogs. Remember: the total price is the number of items bought times the price of one item. So if 5 hamburgers and 4 hot dogs cost $19.50, the first equation would be: 5X + 4Y = 19.50 If 4 hamburgers and 5 hot dogs cost $18.50, your second equation would be: 4X + 5Y = 18.50. Now you have to solve for one variable in one equation and plug it into the other. Let's solve for X in the first equation: 5X + 4Y = 19.50 5X = 19.50 - 4Y X = (19.50/5) - (4/5) Y X = 3.9 - .8Y Now since X equals that, you can substitute in the second equation: 4X + 5Y = 18.50 4 (3.9-.8Y) + 5Y = 18.50 Now distribute and simplify: 15.6 - 3.2Y + 5Y = 18.50 15.6 + 1.8Y = 18.50 1.8Y = 2.9 Y = 1.61 Remember Y is the price of hot dogs, which cost $1.61 each. Plug back into the original equation to find X: 4X + 5Y = 18.50 4X + 5(1.61) = 18.50 4X + 8.05 = 18.50 4X = 10.45 X = 2.61 Hamburgers cost $2.61 each. So one hamburger ($2.61) + one hot dog ($1.61) = $4.22.

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15y ago
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13y ago

Hotdog = d

Hamburger = b

5d + 2b = 9.75

2d + 5b = 11.25

-2.5(2d + 5b) = -2.5(11.25) --> -5d + -12.5b = -28.125

5d + 2b = 9.75

+

-5d + -12.5b = -28.125

--------------------------------

-10.5b = -18.375 --> 10.5b = 18.375

b = 18.375/10.5 = 1.75

5d + 2(1.75) = 9.75

5d = 6.25

d = 1.25

A hotdog is 1.25, a hamburger 1.75.

Thanks for the refresher ^_^

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6y ago

Depends on the price of each hotdog and and hamburger. So when you figure out the price divide,multiply or add, to get the total.

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12y ago

i don't know im English

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13y ago

Hi Ryan

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4y ago

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Q: 5 hamburgers and 4 hot dogs cost 19.50 4 hamburgers and 5 hot dogs cost 18.50 how much does 1 hamburger and how much does 1 hot dog cost?
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