140 likes | 408 Views
Percent equations. How to write and solve. Part, percent and whole. What is the p art, percent and whole? A taco stand owner wants to use 2% of the jalapeños that he has in each jar for one taco. If the jars have 265 jalapeño pieces in them, how many jalapeños will go on each taco?.
E N D
Percent equations How to write and solve
Part, percent and whole What is the part, percent and whole? A taco stand owner wants to use 2% of the jalapeños that he has in each jar for one taco. If the jars have 265 jalapeño pieces in them, how many jalapeños will go on each taco?
How many? What is the part, percent and whole? A taco stand owner wants to use 2% of the jalapeños that he has in each jar for one taco. If the jars have 265 jalapeño pieces in them, how many jalapeños will go on each taco? The percent is 2%. The whole is all 265 pieces. We need to look for the part.
Writing the equation How many jalapeños will go on each taco? 2% of 265 What is 2% of 265? Translate to letters and symbols X = 2% ∙ 265
Rewrite the percent and solve X = 2% ∙ 265 X = 0.02 ∙ 265 X = 5.3 The taco man will use 5.3 jalapeños on each taco. The math is correct, but let’s help the taco man. He doesn’t want to find 0.3 of a jalapeño. Next slide….
Part, percent and whole Our taco stand owner plans to use 2% of the jalapeños that he has in each jar for one taco. He wants to use 5 jalapeño pieces. He can buy jalapeños jars with any number of jalapeños. How many jalapeños should be in each jar he buys? What is the part, percent and whole?
How many pieces per jar? Our taco stand owner plans to use 2% of the jalapeños that he has in each jar for one taco. He wants to use 5 jalapeño pieces. He can buy jalapeños jars with any number of jalapeños. How many jalapeños should be in each jar he buys? What is the part, percent and whole? We are looking for the whole.
Writing the equation Our taco stand owner plans to use 2% of the jalapeños that he has in each jar for one taco. He wants to use 5 jalapeño pieces. He can buy jalapeños jars with any number of jalapeños. How many jalapeños should be in each jar he buys? Speak the problem so it makes sense. 5 is 2%ofsome number of jalapeños 5 = 2% ∙j
Solve 5 = 2% ∙j Change the percent to a decimal. 5 = 0.02 ∙ j That algebra comes in handy now Divide both sides of the equation by 0.02. 5÷ 0.02 = 250 The taco man should buy jars with 250 pieces in them.
Another problem Now the poor taco guy can’t find jars with 250 jalapeño pieces. He can only find jars with 450 jalapeño pieces. Since he thinks 5 jalapeños per taco is a great idea, he wants to know what percent of each jar will be used for each taco. What is the part, percent and whole?
Part and Whole Now the poor taco guy can’t find jars with 250 jalapeño pieces. He can only find jars with 450 jalapeño pieces. Since he thinks 5 jalapeños per taco is a great idea, he wants to know what percent of each jar will be used for each taco. What is the part, percent and whole?
Write and solve Now the poor taco guy can’t find jars with 250 jalapeño pieces. He can only find jars with 450 jalapeño pieces. Since he thinks 5 jalapeños per taco is a great idea, he wants to know what percent of each jar will be used for each taco. Speak it so it makes sense. 5 jalapeños is what percent of 450 jalapeños? 5 = p ∙ 450 Divide both sides by 450 to solve for percent. 5 ÷ 450 = 0.011111
Change decimals to percents The percent is NOT 0.0111111 Change this number to a percent. D P 0.01111 1.11% Taco man uses a little more than 1% of each jar of jalapeñoson each taco.
Generalize Part and whole are numbers. Percents are percents. The percent times the whole equals the part. The part divided by the whole is a decimal that can be changed to a percent. Change percents to decimals. Use a variable for the unknown portion of the problem. Solve for the variable.