1) Michelle reads 1,200 words in 7 minutes, and Tricia reads 700 words in 3minutes. Who is the faster reader

2)Write 566 2/3% as a fraction or a mixed number

3)Solve for the base in the following statement 11% of what number is 77

4)Simplify 8 qt 7 pt

What do you think the answers are? How can you go about solving these problems? Please post your ideas, and we'll be glad to check them.

1) To determine who the faster reader is, we need to compare how many words each person reads per minute. Michelle reads 1,200 words in 7 minutes, so we can calculate her reading speed by dividing the total number of words read (1,200) by the time taken (7 minutes).

Michelle's reading speed = 1,200 words ÷ 7 minutes = 171.43 words per minute (rounded to two decimal places).

Similarly, we can calculate Tricia's reading speed by dividing the total number of words read (700) by the time taken (3 minutes).

Tricia's reading speed = 700 words ÷ 3 minutes = 233.33 words per minute (rounded to two decimal places).

Comparing the reading speeds, we can see that Tricia has a higher reading speed (233.33 words per minute) compared to Michelle's reading speed (171.43 words per minute). Therefore, Tricia is the faster reader.

2) To write 566 2/3% as a fraction or mixed number, we need to convert the percentage to a fraction.

First, we divide the percentage by 100 to convert it to a decimal form.
566 2/3% = 566.67 ÷ 100 = 5.6667

Next, we can express this decimal as a fraction. Since there is a decimal part (0.6667), we can multiply both the numerator and denominator by an appropriate power of 10 to eliminate the decimal.

5.6667 = 56667/10000

Therefore, 566 2/3% can be written as a fraction as 56667/10000.

Alternatively, you can also express it as a mixed number. The whole number part is obtained by dividing the numerator (56667) by the denominator (10000), which gives 5. The remainder becomes the numerator of the fraction part, so the mixed number representation would be 5 6667/10000.

3) To solve for the base in the statement "11% of what number is 77", we can set up an equation. We can represent the unknown number as "x". Translating the given sentence into an equation, we have:

11% of x = 77

To solve for x, we can start by writing the equation in decimal form, which would be:

0.11x = 77

Then, we isolate x by dividing both sides of the equation by 0.11:

x = 77 ÷ 0.11

Evaluating the expression on the right side:

x = 700

Therefore, the base in the statement "11% of what number is 77" is 700.

4) To simplify the expression "8 qt 7 pt", we need to convert the pints into quarts, since there are 2 pints in 1 quart.

Converting the 7 pints into quarts, we divide 7 by 2:

7 pt ÷ 2 = 3.5 qt

Now, we add the converted quarts to the original 8 quarts:

8 qt + 3.5 qt = 11.5 qt

Therefore, "8 qt 7 pt" simplifies to 11.5 quarts.