Question

Solve the following word problem.

1. Mikey worked on her mathematics homework for 3/4 hour and her science
homework for 7/8 hour. How long did she spend in all doing homework?
2. There are 60 students in a class. Three-fourths of them are girls. How many
boys are there?
3. One day in Baguio, the temperature went from - 2 °C to 8°C. What is the
change in temperature?
4. The elevation of Mt. Everest is 29 028 ft. The elevation of the Dead Sea is -485
ft. Find the difference in the elevation between Mt. Everest and the Dead Sea.
1
5. Angie cleans 3 of the yard. Alex cleans 4 of the remaining. What fraction of
the yard is left unclean?​

Answer 1

Listed below

Explanation:

1. To solve number 1 we need to find a common denominator.

What is a common denominator?

A common denominator consists of two or more fractions that have the same denominator.

`(3)/(4) =(6)/(8)`

How can we convert this? Well, to go from 4 to 8, we multiply by 2. Doing the same to the top number (Numerator) will get us a fraction of
`(6)/(8)`.

Adding the two fractions together:

`(7)/(8) +(6)/(8)= (13)/(8) or1 (5)/(8)`

Therefore, the answer to question 1 is
`1(5)/(8)`.

2. If there are 60 students in a class, and
`(3)/(4)` of them are girls, we can use this equation to solve for the number of girls in the class:

• 60 × 0.75 = 45

Why do we multiply by 0.75?

We multiply by 0.75 because 0.75 is equivalent to
`(3)/(4)`.

So, there are 45 girls in the class.

To solve for the rest of the class that are boys, we can use this equation:

• 60 - 45 = 15

The answer to question 2 is 15 boys.

3. If the temperature was -2°C, and it is now 8°C, we can use this equation to solve for the temperature difference:

• -2 + 10 = 8

So, the temperature difference is 10°C.

4. If Mt. Everest's elevation is at 29,028 feet, and the dead sea is -458, we can use this equation to solve for the difference in elevation:

• 29,028 + 458 = 29,486

Therefore, the difference in elevation is 29,486 feet.