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kolbaska11 [484]
3 years ago
12

the spring musical sold student tickets for $8 and adult tickets for $10. there were 130 tickets sold for a total of $1198. how

many student tickets were sold?
Mathematics
2 answers:
Nina [5.8K]3 years ago
5 0
Okay, so the equation can be written as:

where x is number of student tickets, and y is adult tickets


8x + 10y = 1198

x + y = 130

Lets solve for x,

x = 130-y

Put value of x in first equation:

8 (130-y) + 10y = 1198

1040 - 8y + 10y = 1198

1040 + 2y = 1198

2y = 158

y = 79

Since we have to find student tickets, we will write:

x + 79 = 130

x = 51

So 51 student tickets were sold.

devlian [24]3 years ago
4 0
X=number of student tickes
y=number of adult tickets

total cost=8x+10y=1198
x+y=130
multipy second eatuion by -10 and add to first

-10x-10y=-1300
<u>8x+10y=1198 +
</u>-2x+0y=-102<u>
</u>
-2x=-102
divide both sides by -2
x=51<u>
</u>
51 student tickets sold<u>
</u>
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Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

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We are reaching to the final step where we divide the whole equation by 3.

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To check the answer, simply substitute q = -9 in the equation.

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Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

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