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Naddika [18.5K]
3 years ago
5

Your friend buys a skateboard that is on sale for one third off the original price. Your friend spent $36 than the original pric

e. What was the original price of the skateboard?
Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

original price of skateboard = $54

Step-by-step explanation:

Let the original price of the skateboard be x

selling price = one third off the original price = $36

x - (1/3x) = 36

\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}

\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54

∴ x = 54

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5p - 14 = 8 p + 4 No solution, Infinitely many solutions, 6 ,-6​
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3 years ago
Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c
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Answer:

c + h = 5 and

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Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

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Cookies + Hot\ Dogs = 5 --- (1)

And the amount spent can be represented as:

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55 --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

Cookies + Hot\ Dogs = 5 implies c + h = 5

And

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

0.75c + 1.10h = 4.55

Hence, the equations are:

c + h = 5 and

0.75c + 1.10h = 4.55

Solving for c and h

Make c the subject in c + h = 5

c = 5 - h

Substitute 5 - h for c in 0.75c + 1.10h = 4.55

0.75(5- h) + 1.10h = 4.55

3.75- 0.75h + 1.10h = 4.55

3.75 +0.35h = 4.55

Collect Like Terms

0.35h = 4.55 - 3.75

0.35h = 0.8

Solve for h

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Recall that:

c = 5 - h

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5 0
3 years ago
David is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual b
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Answer:

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Step-by-step explanation:

Given:

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4 0
3 years ago
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