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NISA [10]
3 years ago
5

At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 3 soft drinks cost $25. Which two equations

can be used to determine the price of a hamburger and the price of a soft drink? Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

 4x+6y=34\\\\4x+3y=25

Step-by-step explanation:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

4x+6y=34   <em>[Equation 1]</em>

 The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=25 <em> [Equation 2]</em>

Therefore, the <em>Equation 1 </em>and the <em>Equation 2 </em>can be used to determine the price of a hamburger and the price of a soft drink

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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

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Assuming S_b to be the speed of the boat in still water and S_w to be the speed of the water.

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Adding the two equations to get:

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___________________________

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