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Lilit [14]
3 years ago
8

Kelly signed copies of her new book at a local book store. He had budgeted 1.15 per student. It turned out that he spent 0.25 le

ss per student. How much money did he spend for 30 student's
Mathematics
1 answer:
PolarNik [594]3 years ago
3 0

Answer:

$27

Step-by-step explanation:

In this question, we are asked to calculate how much spent on some number of students in a bookstore where books were being signed by an author. We proceed as follows:

To calculate the amount she budgeted, there are different approach we can take. We can calculate the amount she has to pay for the signing at the old price. Then, we calculate the amount of money she has to pay on discounting the fees. We then subtract the values to arrive at the total value she has spent.

Firstly, we calculate the total amount of money to be spent on the students based on his budget. He had budgeted 1.15, then the total amount budgeted would be 30 * 1.15 = $34.5

Now we are made to know that she spent 0.25 less. Thus, the total amount spent less would be 30 * 0.25 = $7.5

The actual amount thus spent is $34.5 - $7.5 = $27

He spent a total of $27 on 30 students

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Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways:  mathematically and graphically.

<u>Graphing</u>

Plot both lines and find where they intersect.  See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

<u>Mathematical</u>

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y =  18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

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