The number of 7th graders attending Middlefield Science Academy this year is 130% of last year’s total. If 500 7th graders attended last year, how many attend this year?

Question

A tape diagram. There are 130 students who are 7th graders this year out of 100 who were 7th graders last year. There are question mark students this year out of 500 who were 7th graders last year.

Which steps should be used to find 130% of 500? Check all that apply.
(100)(50) = 500
(100)(5) = 500
(130)(5) = 650
StartFraction 130 Over 100 EndFraction = StartFraction 130 Over 100 EndFraction = StartFraction 650 Over 500 EndFraction
There are 650 7th graders this year.

Answer 1

To find 130% of 500, you can follow these steps:

1. Convert 130% to a decimal:

   • \(130% = 1.30\)

2. Multiply the decimal by last year's total:

   • \(1.30 \times 500 = 650\)

3. Alternatively, you can use the fraction representation of percentage:

   • Start with the fraction \( \frac{130}{100} \) and multiply it by 500:
   • \( \frac{130}{100} \times 500 = 650 \)

From your options, the appropriate steps to find 130% of 500 are:

• (130)(5) = 650 (This step directly calculates 130% of 500.)
• StartFraction 130 Over 100 EndFraction = StartFraction 130 Over 100 EndFraction = StartFraction 650 Over 500 EndFraction (This correctly represents the percentage relationship and shows the equivalent calculations.)

The other steps listed (like \( (100)(50) = 500 \) and \( (100)(5) = 500 \)) do not relate to finding 130% of 500.

Therefore, the final number of 7th graders attending this year is indeed 650.