Unit 6. Day 3.

Proportions keep help us stay NOT confused! Yesterday: Find 24 % of 75. 18 Today: Example A: What number is 24% of 75? Example B: What percent of 75 is 18? 18 is 24% of what number? Example C: Proportions keep help us stay NOT confused!

𝑥 = ∙ 75 𝑥 = 18 Example A: What number is 24% of 75? = 100𝑥 = 25𝑥 = 𝑥 24 100 75 𝑥 24 100 24 100 75 𝑥 𝑥 75 = = 75 24 75 1800 = 100 𝑥 100𝑥 6 75 450 = 25 𝑥 25𝑥 100 100 25 25 = 𝑥 18 18 = 𝑥 18 18 6 25 2∙2∙2∙3 2∙2∙5∙5 6 25 = = What number 𝑥 = is 24% of ∙ 75 0.24 75 24 𝑥 = 18 4 6 2 2 2 3

= = 1800 600 = 24 𝑥 = 1 100 𝑥 1𝑥 100 𝑥 100 What percent 0.01𝑥 of ∙ 75 Example B: What percent of 75 is 18? 𝑥 ? 100 𝑥 100 18 75 18 18 75 18 75 18 75 = = 75 𝑥 25 25𝑥 = 75𝑥 = 1800 100 6 600 𝑥 75 100 18 75 75 25 25 1800 75 = 24 𝑥 24 𝑥 = 1 100 𝑥 1𝑥 100 𝑥 100 What percent 0.01𝑥 of ∙ 75 75 = is 18 18 2∙2∙2∙3∙3∙5∙5 𝑥= 3∙5∙5 6 25 6 25 2∙3∙3 3∙5∙5 𝑥=24 24 = = 𝑥 = 24

Example C: 18 is 24% of what number? 24 100 24 100 18 18 24 100 18 𝑥 𝑥 18 = 𝑥 = 𝑥 6 𝑥 6𝑥 = 25 18 450 6 6 24 𝑥 24𝑥 = 100 18 1800 24 24 𝑥 = 75 75 1800 24 𝑥 = 6 25 2∙2∙2∙3 2∙2∙5∙5 6 25 18 18 is = 0.24 24% = of ∙ what number 𝑥 = 2∙2∙2∙3∙3∙5∙5 𝑥= 24 2∙2∙2∙3 𝑥= 4 6 𝑥=75 75 75 2 2 2 3

Example A: What number is 24% of 75? 24 100 = 𝑥 75 𝑥=0.24∙75 Example B: What percent of 75 is 18? 𝑥 100 = 18 75 0.01𝑥∙75=18 Example C: 18 is 24% of what number? 24 100 = 18 𝑥 18=0.24∙𝑥

Practice Drill

What percent of 36 is 4? 𝑥 100 = 4 36 0.01𝑥∙36=4

What number is 92% of 16? 92 100 = 𝑥 16 𝑥=0.92∙16

33 is 24% of what number? 24 100 = 33 𝑥 33=0.24∙𝑥

11 is 84% of what number? 84 100 = 11 𝑥 11=0.84∙𝑥

What percent of 2 is 3? 𝑥 100 = 3 2 0.01𝑥∙2=3

What number is 8% of 6? 8 100 = 𝑥 6 𝑥=0.08∙6

Example D: What number is 32% of 25? 𝑥 𝑥 25 32 100 25 𝑥 What number = is 32% of ∙ 25 0.32 𝑥 25 = 25 Example E: What percent of 25 is 8? 8 8 25 25 8 What percent .01𝑥 ∙ of 25 25 is 8 8 𝑥 100 = = 25 Example F: 8 is 32% of what number? 8 8 = is 32% 0.32 of ∙ what number 𝑥 32 100 8 8 𝑥 𝑥 8 = 𝑥

𝑥 = ∙ 𝑥 = 8 Example D: What number is 32% of 25? = = 100𝑥 25𝑥 = 𝑥 = 𝑥 32 100 25 ? 32 100 32 100 25 𝑥 = = 8 25 200 = 32 25 800 = 100𝑥 25 𝑥 25𝑥 100 𝑥 100 100 25 25 = 𝑥 8 8 = 𝑥 8 8 25 1 What number 𝑥 = is 0.32 32% of ∙ 25 25 8 25 2∙2∙2∙2∙3 2∙2∙5∙5 8 25 = = 𝑥 = 8

Example E: What percent of 25 is 8? 𝑥 ? 100 25 8 = What percent 0.01𝑥 of ∙ 25 25 = is 8 8 𝑥 25 25𝑥 = 800 100 8 25 25 800 25 𝑥 = 𝑥 = 32 2∙2∙2∙2∙2∙5∙5 𝑥= 5∙5 𝑥=32 32

Example F: 8 is 32% of what number? 32 100 32 100 8 32 100 8 = = 𝑥 𝑥 ? 8 𝑥 8𝑥 = 25 8 200 8 8 32 𝑥 32𝑥 = 100 8 800 32 32 𝑥 = 25 25 800 32 𝑥 = 8 8 = is 0.32 32% of ∙ what number 𝑥 = 2∙2∙2∙2∙2∙5∙5 𝑥= 2∙2∙2∙2∙2 8 25 2∙2∙2∙2∙2 2∙2∙5∙5 8 25 = = 𝑥=25 25 𝑥= 75