Explanation

Explanation

45% of 600 students is calculated as follows:

0.45×600=270

Explanation

To determine the total number of fence poles used, we need to consider that each corner pole is counted twice when calculating the poles for each side.

Each side of the square plot has 27 poles.

Since the plot is square, it has 4 sides.

First, calculate the total number of poles if we didn't account for the corners:

27 poles/side×4 sides=108 poles

However, this calculation counts each corner pole twice.

A square has 4 corners, so we need to subtract the 4 extra poles that were counted twice:

108 poles−4 extra poles=104 poles

Explanation

To find the fraction of green marbles, we need to calculate the total number of marbles first.

Sara has:

- 5 red marbles

- 3 green marbles

- 2 blue marbles

Total marbles = 5 (red) + 3 (green) + 2 (blue) = 10 marbles

Next, we determine the fraction of green marbles out of the total marbles:

Fraction of green marbles = Number of green marbles / Total number of marbles

Fraction of green marbles = 3 / 10

Explanation

The recipe calls for 2 cups of sugar, but Sarah has only 1/2 cup.

To find out how much more sugar she needs, subtract the amount she has from the amount required:

2cups - 1/2 cup = 1/2 cups - 1/2 cup = 3/2 cups

So, Sarah needs 1 1/2 cups (or 3/2 cups) more sugar.

The correct answer is: 3/2 cup

Explanation

Given:

The total of their current ages is 80 years.

Three years ago, each of them was 3 years younger, so:

Amar's age three years ago = Amar's current age - 3

Akbar's age three years ago = Akbar's current age - 3

Ali's age three years ago = Ali's current age - 3

The total of their ages three years ago would be:

(Amar ′ s current age−3)+(Akbar ′ s current age−3)+(Ali ′ current age−3)

This simplifies to:

(Amar  ′ s current age+Akbar′ s current age+Ali' s current age)−9

Since the total of their current ages is 80 years:

80−9=71

Therefore, the total of their ages three years ago was 71 years

Explanation

To determine the fraction of the pizza that remains after 4 slices are eaten from a pizza divided into 10 equal slices, we can follow these steps:

1. Total slices in the pizza:

10 equal slices

2. Slices eaten:

4 slices

3. Slices remaining:

Subtract the slices eaten from the total slices to find the slices that remain:

10 - 4 = 6

4. Fraction of the pizza remaining:

The fraction of the pizza that remains after 4 slices are eaten out of 10 slices can be calculated as:

slices remaining / total slices = 6/10 = 3/5

Explanation

Given the information that the sum of two numbers is 35 and one number is 8 more than the other, we can set up a system of equations to solve for the numbers.

Let's denote the two numbers as  and , where:

 = one of the numbers

 = the other number

Given:

1. The sum of the two numbers is 35: 

x + y = 35

2. One number is 8 more than the other: 

x = y + 8

Substitute the value of  from the second equation into the first equation:

y + y + 8 = 35

2y + 8 = 35 

2y + 8 = 35 

2y = 27 

y = 13.5

Now, substitute the value of y back into:

x = y +8 

x = 13.5 + 8 

x = 21.5

Explanation

Given:

Total pages in the book = 300

Total days to finish the book = 10

Calculate the number of pages the student should read per day:

 300 pages / 10 days = 30 pages per day

Explanation