Solve Percent Problems Lesson 2.8 Problems with Percent

numerator denominator is 40

We can see that 25% and 10 line up when the total of the number line is STOP! Let’s talk about the values we have before discussing the number lines. We are told that some amount has been broken into fourths. We are also told that 10 is equal to one of those fourths. The number line hs 4 sections on it. The first section marks the 10. This lines up with 25%, or 1 out of 4 sections on the % line.

The % line is divided into increments of 25% each. How were the increments found for the bottom line????? part 90 songs filled 3 out of 4 sections, so ?? 30

0% 50% 100% | | | is 20% (1/5) of the entire amount. 0% 20% 40% 60% 80% 100% | | | | | | | | |

Peyton paid $300 for this. Peyton paid 60% of her money for this. 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% | | | | | | | | | | | $500 There are several options for this. I am choosing to use the fraction 6/10 for 60% Splitting the 300 into 10 sections would give 30 in each section. The 300 has to be the total of the 6 sections. Peyton had a total of $500 before she bought the tv.

Correctly identifying the “is” and “of” words will make this VERY simple. Remind me to show you a neat way to find the missing number if you can’t see the scaling. Don’t you dare think “200.” ÷ 2 50

Personally, I cannot readily see what 75 was multiplied by to get 225. I do, however, know a solving step that makes it easier. I know that if I multiply 225 (100) and divide by 75, I will get the solution! x

= 5 x 15 = 5 x ÷4 100÷ ÷ ÷10 35÷5 100÷5 20

The statement would be: 15 is 5% of what number? = 5 x 3 = 3 x

OK, there is some number that represents the whole amount. We do not know what it is, but we do know that it was cut into fifths. 40 is in one of those fifths! Hah! Mystery is ready to solve! 0% 20% 40% 60% 80% 100% | | | | | | | | | is 20% of 200.

We will also do a circle graph with our number line. 0% 25% 50% 75% 100% | | | | |

= 30 x 4 = 100 x = 4 x 15 = 4 x

Let’s find the sentence that will give us the proportion. $4200 is 20% of the value. = 20 x 210 = 100 x ,

You can use a percent proportion to find the missing part of the proportion by using equivalent ratios. You can also make a double number line to find the missing whole amount.