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Blizzard [7]
3 years ago
11

jack bought 3 slices of cheese pizza and 4 slices of nushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese

pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one myshroom pizza
Mathematics
1 answer:
Llana [10]3 years ago
4 0
The cost of one slice of mushroom pizza is $2.00 dollars. This is solved by subtracting the equations:  
X = cheese pizza 
Y = mushroom pizza  
(3X + 4Y = 12.50) 
- (3X + 2Y = 8.50)
 ______________ 
2Y = 4.00 
Y=2 or a slice of mushroom pizza is $2.00.
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Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.
serious [3.7K]

The greatest number of sandwiches that Olivia can make is 12.

3 slices of cheese will be on each sandwich

<u>Solution:</u>

Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.  

We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?

Let the number of sandwiches be "n"

Then, number of slices of ham per sandwich =\frac{48}{n}

And, number of slices of cheese per sandwich =\frac{36}{n}

As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36

The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.

Out of these common factors, 12 is the greatest

So, H.C.F of 48 and 36 is 12, which means n = 12

Then, number of cheese slices per sandwich =\frac{36}{12}=3

Hence, 12 sandwiches can be made with 3 slices of cheese per sandwich.

8 0
3 years ago
3x+2 if x less than 5
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The number of boots that 25 students had in their homes in Florida were recorded
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Answer:

Min = 0; Q₁ = 0; Median = 2; Q₃ = 2; Max = 8

Step-by-step explanation:

Assume that your sorted data are

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8

1. Minimum

Min = 0

2. Median

The median is the middle value in a sorted data set. There are 25 items, so the median is the 13th item.

Median = 2

3. First quartile

Q₁ is the median of the lower half of the data set.

The median of 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2 is 0.

Q₁ = 0

4. Third quartile

Q₃ is the median of the upper half of the data set.

The median of 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8 is 3.

Q₃ = 3

5. Maximum

Max = 8

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2 years ago
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