55% of the 300 students in 6th grade have a younger brother or sister. How many 6th graders have a younger sibling?

Question

A tape diagram. There are 55 6th graders with a younger sibling out of all 6th graders. There are question mark 6th graders with a younger sibling out of 300 all 6th graders.

What steps should be used to find 55% of 300? Check all that apply.
100 x 3 = 300
55 x 3 = the answer
55 x 300 = the answer
55 x 300 = 18,000 students
55 x 3 = 165 students
165 6th graders have a younger sibling.

Answer 1

To find 55% of 300, you should use the following steps:

1. Find 1% of 300:
   To find 1% of a number, you can divide by 100.
   \(\frac{300}{100} = 3\)

2. Calculate 55% of 300:
   To find 55%, you multiply 1% by 55.
   \(55 \times 3 = 165\)

So, the correct steps to determine how many 6th graders have a younger sibling are:

• Find 1% of 300: \(100 x 3 = 300\) (You need this step as a way to find 1%)
• Find 55%: \(55 x 3 = 165\) (This is the correct step)

The other options provided are incorrect for this calculation:

• 55 x 300 = the answer (This would be 16500, which is incorrect for finding a percentage)
• 55 x 300 = 18,000 students (Incorrect as this result is not relevant)
• 165 6th graders have a younger sibling. (This is the correct conclusion based on the previous calculations)

So the satisfactory statements to check would be:

• \(100 \times 3 = 300\) (for finding 1%)
• \(55 \times 3 = 165\) (for finding 55% of 300)

And concluding with:

• 165 6th graders have a younger sibling.