Glencoe Math: Course 2, Volume 1
GM
Glencoe Math: Course 2, Volume 1 View details
2. Percent and Estimation
Continue to next subchapter

Exercise 17 Page 116

Practice makes perfect
We are asked to find about how many canned foods the seventh-graders collected if their goal was 200 cans. We know that they collected 129 % of their canned food goal. Let's start by rounding this percent. 129 % ≈ 130 % Notice that 130 % of 200 is the sum of 100 % of 200 and 30 % of 200. 130 %of 200 ⇓ ( 100 %of 200) + ( 30 %of 200) To find the percent of a number, we need to write the percent as a fraction and multiply it by the number. We can write the percent as a fraction by writing the number part as a numerator over 100. ( 100 %of 200) + ( 30 %of 200) [0.3em] ⇓ [0.3em] ( 100/100* 200) + ( 30/100* 200) Finally, we will evaluate the expression that we got.
(100/100*200) + (30/100* 200)
Evaluate
(1* 200) + (30/100* 200)
200 + (30/100* 200)
200 + (30/100* 200/1)
200 + 30* 200/100* 1
200 + 30* 2* 100/100* 1
200 + 30* 2* 100/100* 1
200 + 30* 2/1
200 + 30* 2
200+60
260
We found that the seventh-graders collected about 260 canned foods if their goal was 200 cans.
We are asked to find about how many canned foods the seventh-graders collected if their goal was 595 cans. We know that they collected 129 % of their canned food goal. Let's start by rounding both the percent and goal. 129 % ≈ 130 % [0.3em] 595 ≈ 600 Notice that 130 % of 600 is the sum of 100 % of 600 and 30 % of 600. 130 %of 600 ⇓ ( 100 %of 600) + ( 30 %of 600) To find the percent of a number, we need to write the percent as a fraction]and multiply it by the number. We can write the percent as a fraction by writing the number part as a numerator over 100. ( 100 %of 600) + ( 30 %of 600) [0.3em] ⇓ [0.3em] ( 100/100* 600) + ( 30/100* 600) Finally, let's evaluate our expression.
(100/100* 600) + (30/100* 600)
Evaluate
(1* 600) + (30/100* 600)
600 + (30/100* 600)
600 + (30/100* 600/1)
600 + 30* 600/100* 1
600 + 30* 6* 100/100* 1
600 + 30* 6* 100/100* 1
600 + 30* 6/1
600 + 30* 6
600+180
780
We got that the seventh-graders collected about 780 canned foods.