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guajiro [1.7K]
2 years ago
7

Which of the following expressions are equivalent?

Mathematics
1 answer:
suter [353]2 years ago
7 0
1 and 2 are equivalent
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Frank buys p pounds of oranges for $2.29 per pound and the same number of pound ls of apples for $1.69 per pound. What does the
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2 years ago
B. At the circus, three adult tickets and five child tickets cost $51, and five adult tickets
allsm [11]

Answer: x = $7, y = $6

Step-by-step explanation:

Let x be the cost of an adult ticket

Let y be the cost of a children's ticket

Translate these sentences to algebra:

At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51

Five adult tickets and two child tickets cost $47: 5x + 2y = 47

Now we have two equations. Let's use substitution to solve.

3x + 5y = 51

3x = 51 - 5y

.: x = 17 - 5y/3

Now substitute this value of x into the second equation to find the numerical value of y:

5(17 - 5y/3) + 2y = 47

85 - 25y/3 + 2y = 47

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-19y = -114

.: y = 6

Now find x:

x = 17 - 5y/3

x = 17 - 10

.: x = 7

So an adult ticket costs $7, and a child ticket costs $6 :)

3 0
3 years ago
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