Unit 6. Day 5.

Example A: Zoey inflated 24 balloons for decorations at the middle school dance. If Zoey inflated 15% of the total number of balloons inflated for the dance, how many balloons are there total? 15% 24 is 15% of what number? 15 100 = 0.15 ∙ 𝑥 15 100 24 24 inflated inflated = 𝑥 total total 24=0.15𝑥 0.15 0.15 15 𝑥 15𝑥 2400 = 100 24 15 15 160 = 𝑥 2400 15 = 480 3 𝑥 = = 160 160

Example B: Haley is making admission tickets to the middle school dance. So far she has made 112 tickets, and her plan is to make 320 tickets. What percent of the admission tickets has Haley produced so far? what percent What percent of 320 is 112? 100 𝑥 112 made made = 0.01𝑥 ∙ 320 = 112 320 total total 𝑥 320 320𝑥 = 100 112 11200 320 320 1120 32 11200 320 140 4 𝑥 = 35 = = 35 𝑥 = 35

Example C: In Ty’s math class, 20% of students earned an A on a test Example C: In Ty’s math class, 20% of students earned an A on a test. If there were 30 students in the class, how many got an A? 20% What is 20% of 30? 𝑥 A 20 100 A 𝑥=0.20 30 = 30 total total 𝑥=6 100 𝑥 100𝑥 = 20 30 600 100 100 𝑥 = 6

Example D: 40% of the students on the field trip love the museum Example D: 40% of the students on the field trip love the museum. If there are 20 students on the field trip, how many love the museum? Example E: 40% of the students on the field trip love the museum. If 20 students love the museum, how many are on the field trip? Example F: 20 students on the field trip love the museum. If there are 40 students on the field trip, what percent love the museum?

Example D: 40% of the students on the field trip love the museum Example D: 40% of the students on the field trip love the museum. If there are 20 students on the field trip, how many love the museum? 40% What is 40% of 20? 𝑥 love 40 100 love 𝑥=0.40 20 = 20 total total 𝑥=8 100 𝑥 100𝑥 = 40 20 800 100 100 𝑥 = 8

Example E: 40% of the students on the field trip love the museum Example E: 40% of the students on the field trip love the museum. If 20 students love the museum, how many are on the field trip? 40% 20 is 40% of what number? 40 100 = 0.40 ∙ 𝑥 40 100 20 20 love love = 𝑥 total total 20=0.40𝑥 0.40 0.40 40 𝑥 40𝑥 = 100 20 2000 40 40 50 = 𝑥 2000 40 = 200 4 𝑥 = = 50 50

Example F: 20 students on the field trip love the museum Example F: 20 students on the field trip love the museum. If there are 40 students on the field trip, what percent love the museum? what percent What percent of 40 is 20? 100 𝑥 20 love love = 0.01𝑥 ∙ 40 = 20 40 total total 𝑥 40 40𝑥 = 100 20 2000 40 40 2000 40 200 4 𝑥 = = 50 50 = 𝑥 = 50