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BabaBlast [244]
3 years ago
15

Fruit juice 4/5pint cartons is sold by the park in 5/6 pint mugs.how many mugs are in a carton

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

24/25 mugs

Step-by-step explanation:

Fruit juice 4/5pint cartons is sold by the park in 5/6 pint mugs.

To calculate the number of mugs in the carton:

Number of pint cartons ÷ Number of pint mugs

4/5 pint cartons ÷ 5/6 pint mugs

= 4/5 ÷ 5/6

= 4/5 ÷ 6/5

= 24/25 mugs.

Therefore, the number of mugs in the carton = 24/25 mugs.

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<u><em>Answer:</em></u>

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

<u><em>Explanation:</em></u>

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

<u>Mathematically, an inverse variation relation is represented as follows:</u>

y = \frac{k}{x}

where x and y are the two variables and k is the constant of variation

<u><em>Now, let's check the givens:</em></u>

<u>Part a:</u>

We are given that y = 3 and k = 33

<u>Substitute in the original relation and solve for x as follows:</u>

y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11

<u>Part b:</u>

We are given that y = 11 and x = 5.2

<u>Substitute in the original relation and solve for k as follows:</u>

y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2

<u>Part c:</u>

We are given that x=7.8 and k=72

<u>Substitute in the original relation and solve for y as follows:</u>

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Hope this helps :)

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