Question

1. you read a total of 756 pages in 28 days. you read about the same number of pages each day. how many pages did you read each day?
2. a rectangle has an area of 2,032 square inches. the length is 508 inches. what is the width of the rectangle?
3. you divide 458 pennies into jars. you put 26 pennies in each jar. how many jars do you need? how many pennies are left over?
4. when remodeling a kitchen, 1 - square - foot tiles are being purchased for the floor, which has an area of 45,000 square inches. there are 144 square inches in 1 square foot. what is the minimum number of tiles needed to cover the floor?
5. a city bus can hold 56 people. on tuesday, 6,000 people rode the bus. how many buses would it take to hold 6,000 people? how many people would be left over?
6. you wish to save a total of $1,700. you save $16 per month. how many months will it take you to reach your goal?

Explanation:

Question 14

Step1: Identify the problem type

This is a division problem where we need to find the number of pages read per day. We know the total number of pages and the number of days, so we divide the total pages by the number of days.

Step2: Perform the division

Total pages = 756, Number of days = 28. So, the number of pages per day is $756 \div 28$.
We can calculate this as follows: $28\times27 = 756$, so $756\div28 = 27$.

Step1: Recall the formula for the area of a rectangle

The area of a rectangle is given by $A = l\times w$, where $A$ is the area, $l$ is the length, and $w$ is the width. We need to find the width, so we rearrange the formula to $w=\frac{A}{l}$.

Step2: Substitute the given values

Given $A = 2032$ square inches and $l = 58$ inches. So, $w=\frac{2032}{58}$.
Calculating this, $58\times35 = 2030$, $2032 - 2030 = 2$, so $2032\div58 = 35\frac{2}{58}=35\frac{1}{29}\approx35.03$ (assuming we need a decimal or fraction, but likely integer division was intended, maybe a typo in length? If length is 56, $2032\div56 = 36.2857$; if length is 59, $2032\div59 = 34.44$; but as per given, length is 58, so $2032\div58 = 35.0345\approx35$ (if we consider integer width, maybe a miscalculation, but following the formula)
Wait, maybe the length is 56? Let's check $56\times36 = 2016$, $56\times36.2857 = 2032$. But as per the problem, length is 58. So, $2032\div58 = 35.034\approx35$ (if we take integer) or 35.03.

Step1: Identify the problem type

This is a division with remainder problem. We divide the total number of pennies by the number of pennies per jar to find the number of jars and the remainder.

Step2: Perform the division

Total pennies = 458, Pennies per jar = 26. So, $458\div26$.
$26\times17 = 442$, $458 - 442 = 16$. So, the number of jars is 17 and the remainder (pennies left over) is 16.

Answer:

27

Question 15