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Dvinal [7]
3 years ago
11

As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10

points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?


B) if the SAT test is in 12 weeks who will score the highest?


Please show all work !!
Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

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Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

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