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3 years ago

If 5/6 of the two dozen juice boxes are strawberry how many of the juice boxes are strawberry

2 answers:

7 0

Two dozen juice boxes are 24 juice boxes. 5 from each six are strawberry. There are 4 groups of 6 in the 24 juice boxes. 5x4=20. 20 of the juice boxes are strawberry.

OlgaM077 [116]3 years ago

7 0

One dozen is 12. 6x2=12
So you multiply 5/6 by 2 to get 10/12.
Since there are 24 in two dozen and 12x2=24 you multiply 10/12 by 2 to get 20/24.

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3 years ago

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3 years ago

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3 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

Convert statement into algebraic expression:

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

3 years ago

A store manager is marking down chess boards from $25 to $14. What percentage is the discount?

Alborosie

Remember: when calculating percent it will always be over 100. With the given numbers 14 is your part out of the total (25). It should be written as part/whole.

As previously said, the percent is always over 100. (x/100)

In this problem you are given the part (14) and the whole (25). So it would be 14/25. The percent in this problem would be x/100. Now to find percent with the given part/whole, you would multiply 14 with 100. Then simply divide by 25.

7 0

3 years ago