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omeli [17]
3 years ago
15

Ms smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups withou

t any students left over how many students will be I each group?
Mathematics
1 answer:
Olegator [25]3 years ago
3 0
28+35=63
63/3=21
Answer is 3 groups
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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

-19y/3 = -38

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.: 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 :)

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Step-by-step explanation:

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