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uysha [10]
2 years ago
6

Mofor’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen t

ickets and 6 student tickets for a total of $96. The school took in $202 on the second day by selling 8 senior citizen tickets and 13 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
Mathematics
1 answer:
kari74 [83]2 years ago
7 0

Answer:

Senior citizen tickets = 9

Student tickets = 10

Step-by-step explanation:

We begin by converting the question into simultaneous linear equations;

Senior citizen tickets = a

Student tickets = b

4a + 6b = 96

8a + 13b = 202

to find a,

if 4a +6b = 96

a = 96/4 - 6b/4

a = 24 - 1.5b

We now substitute this into the second equation

8(24 - 1.5b) + 13b = 202

192 - 12b + 13b = 202

b = 202 - 192

b = 10

We now put the value of b in either equation

4a + 6b = 96

4a + 6(10) = 96

4a + 60 = 96

4a = 96 - 60

4a = 36

a = 9

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2 years ago
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we
Blababa [14]

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$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

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x + y = 10,000 •••••••••(i)

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Adding all together will give total

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Multiply through by 100

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From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

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3 years ago
Read 2 more answers
5. solve for x
miss Akunina [59]

Answer:

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Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

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7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

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Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

7 0
2 years ago
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