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lara [203]
3 years ago
7

A group of friends decided to divide the $800 cost of a trip equally among themselves. when two of the friends decided not to go

on the trip, those remaining still divided the $800 cost equally, but each friendâs share of the cost increased by $20. how many friends were in the group originally?
Business
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

They were 10 friend

Explanation:

We can construct the equation system as follows:

\left \{ {{\frac{800}{friends} = a} \atop {\frac{800}{friends - 2} = a + 20}} \right.

we can solve for the number of friend by using subtritution:

\frac{800}{friends - 2} = \frac{800}{friends} + 20

800 = (\frac{800}{friends} + 20) \times (friends - 2)

800 = 800 - \frac{1600}{friends} + 20friends - 40

40 = 20 friends - 1600friends

friends(40 - 20 friends) +1,600 = 0

-20f^{2} + 40f + 1,600 = 0

we get a quadratic formula we solve for the positive root

f = 10

We know check if the root is correct:

800 / 10 = 80

800 / (10 - 2) = 100

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Answer:

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Explanation:

Fixed cost is calculated using high low method.

High low method seeks to find variable cost per hour / unit by dividing the difference of cost (total cost at two levels) with difference of activity level. Than variable cost is reduced from total cost to identify the fixed cost. Below is the calculation:

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Variable cost per machine hour = <u>Current year cost - Prior year cost</u>

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Variable cost per machine hour: <u>37,850 - 33,300</u> = $1.30 per machine hour

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Variable cost current year: ($1.30 * 19,100) = $24,830

Variable cost prior year: ($1.30 * 15,600) = $20,280

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Fixed cost prior year:     33,300 - 20,280 = $13,020

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