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Leya [2.2K]
2 years ago
12

Larissa is planning for a trip that will cost $2,145. She has $952.50 saved and is going to set aside ½ of her weekly salary fro

m her part-time job. Larissa earns $265 per week. How many weeks will it take her to earn the rest of the money needed for the trip? With work shown
Mathematics
1 answer:
AveGali [126]2 years ago
7 0

Answer:

9 weeks :)

Step-by-step explanation:

First we subtract :)

2145 - 952.50 = 1192.50

Now we divide :)

265/2 = 132.5

Now we divide 1 more time :)

1192.50/132.50 = 9

It will take 9 weeks :)

Have an amzing day!!

Please rate and mark brainliest!!

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ira [324]

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

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===================================================

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}

If we multiply both sides of the second equation by -2, we get this updated system

\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

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If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

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Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

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