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Mine. ary? The part is 90 country music songs. The percent is 75%. The whole, the number of songs he has in his library,

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Mine. ary? The part is 90 country music songs. The percent is 75%. The whole, the number of songs he has in his library, is the unknown. Method 1 Use a bar diagram. Draw a bar diagram with 4 equal-size sections of 25% each. Shade 3 sections to represent 75%. Label the shaded sections as 90 songs. 90 songs- Think About It! A classmate claims that because 75% is less than 100, Landon should have more than 90 music songs in his library. Do you think this reasoning is correct? Why or why not? Percent 0% 25% 50% 75% 100% How many songs are represented by each section? Label each section on the bar diagram. How many songs are represented by the whole? Method 2 Use equivalent ratios. Let w represent the whole. part whole 90 W 75 100 } percent 90 W= 75 Simplify as 30 90 Because 3 x 30 = 90, 120 multiply 4 by 30 to obtain 120. So, w = 120. 30 032 o, using either method, Landon has songs in his music library. heck The first year of ownership, a new car lost 20% of its value. If the lost $4,200 of its value, how much did the car originally cost? e any strategy. now work 4,200 Talk About It! Explain why setting up the equation relating the equivalent ratios was advantageous to use in this example.

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