Example A: Mr. Jordan wins $3,570,000 in a lottery Example A: Mr. Jordan wins $3,570,000 in a lottery. He has to pay 40% in taxes. How much in taxes does he have to pay?
Example B: Mr. Jordan has $100. He has to pay 40% in taxes Example B: Mr. Jordan has $100. He has to pay 40% in taxes. How much in taxes does he have to pay? 40 100 60 100 40 % = 60 % =
Example C: Mr. Jordan has $70. He has to pay 40% in taxes Example C: Mr. Jordan has $70. He has to pay 40% in taxes. How much in taxes does he have to pay? 0.40 40 40 % 𝑜𝑓 70 100 ∙ ∙ 70 70 𝑥 ? 40 100 70 = 70 1 2800 100 = = 28 40 70 2800 = 100 𝑥 100𝑥 100 100 = 28 𝑥 = 28 7 0 × 0 4 . 28 2 8 .
Example C: Mr. Jordan has $70. He has to pay 40% in taxes Example C: Mr. Jordan has $70. He has to pay 40% in taxes. How much in taxes does he have to pay? 40 0.40 40 % 𝑜𝑓 70 100 ∙ ∙ 70 70 40 100 2 5 70 𝑥 = 2 5 70 1 140 5 = = 28 2 70 140 = 5 𝑥 5𝑥 5 5 = 28 𝑥 28 = 7 0 × 0 4 . 28 2 8 .
Example A: Mr. Jordan wins $3,570,000 in a lottery Example A: Mr. Jordan wins $3,570,000 in a lottery. He has to pay 40% in taxes. How much in taxes does he have to pay? 𝑥 40 100 2 5 3570000 ? 40 40 % 𝑜𝑓 3570000 100 ∙ 3570000 = 35700000 1 142800000 100 7140000 = 2 3570000 = 5 𝑥 5𝑥 5 5 = 1428000 𝑥 1428000 = 1428000 2 2 0.40 40 % 𝑜𝑓 3570000 ∙ 3570000 3 5 7 0 0 0 0 × 0 4 . 1428000 1 4 2 8 . =
= 100𝑥 = 𝑥 Example D: Find 65% of 188 65 % 𝑜𝑓 188 65 % 𝑜𝑓 188 65 100 ∙ 65 % 𝑜𝑓 188 65 % 𝑜𝑓 188 65 100 ∙ 188 𝑥 65 100 188 ? 188 1 12220 100 = = = 122.2 65 188 12220 = 100 𝑥 100𝑥 100 100 12220 100 2∙2∙5∙13∙47 2∙2∙5∙5 611 5 = 𝑥 = = = 122.2 122.2 5 4 4 4 0.65 65 % 𝑜𝑓 188 ∙ 188 1 8 8 × 0 6 5 . 1 1 9 4 + = 1 1 2 8 ∎ 122.2 1 2 2 . 2
= 20𝑥 = 𝑥 Example D: Find 65% of 188 65 % 𝑜𝑓 188 65 65 % 𝑜𝑓 188 100 ∙ 65 % 𝑜𝑓 188 65 65 % 𝑜𝑓 188 100 ∙ 188 𝑥 65 100 188 13 20 13 20 188 1 2444 20 = = = 122.2 13 188 2444 = 20 𝑥 20𝑥 20 20 2444 20 2∙2∙13∙47 2∙2∙5 611 5 = 𝑥 = = = 122.2 122.2 5 4 4 4 0.65 65 % 𝑜𝑓 188 ∙ 188 1 8 8 × 0 6 5 . 1 1 9 4 + = 1 1 2 8 ∎ 122.2 1 2 2 . 2
Example E: Find 14% of 84 Example F: Find 120% of 60
= 100𝑥 = 𝑥 Example E: Find 14% of 84 14 % 𝑜𝑓 84 14 14 % 𝑜𝑓 84 100 ∙ 84 14 % 𝑜𝑓 84 14 14 % 𝑜𝑓 84 100 ∙ 84 𝑥 14 100 84 ? 84 1 1176 100 = = = 11.76 14 84 1176 = 100 𝑥 100𝑥 100 100 = 11.76 11.76 𝑥 5 3 0.14 14 % 𝑜𝑓 84 ∙ 84 1 8 4 × 0 1 4 . = 3 3 6 + 8 4 ∎ 11.76 1 1 . 7 6
50𝑥 = = 𝑥 Example E: Find 14% of 84 14 % 𝑜𝑓 84 14 % 𝑜𝑓 84 14 100 ∙ 84 14 % 𝑜𝑓 84 14 % 𝑜𝑓 84 14 100 ∙ 84 14 100 84 𝑥 7 50 7 50 84 1 588 50 = = = 11.76 7 84 588 = 50𝑥 50 𝑥 50 50 = 11.76 11.76 𝑥 5 3 0.14 14 % 𝑜𝑓 84 ∙ 84 1 8 4 × 0 1 4 . = 3 3 6 + 8 4 ∎ 11.76 1 1 . 7 6
= 100𝑥 = 𝑥 Example F: Find 120% of 60 120 % 𝑜𝑓 60 120 120 % 𝑜𝑓 60 100 120 % 𝑜𝑓 60 120 120 % 𝑜𝑓 60 100 ∙ 60 𝑥 120 100 60 ? 60 1 7200 100 = = = 72 120 60 7200 = 100 𝑥 100𝑥 100 100 = 72 72 𝑥 1.20 120 % 𝑜𝑓 60 ∙ 60 1 1 2 0 . × 6 0 = + 7 2 ∎ 72 7 2 .