Q:

Tristan and Ronna are collecting clothes for a clothing drive. Ronna collected 3 times as many clothes as Tristan did. If Tristan collected 4 1/4 bags of clothes, how many bags of clothes did Ronna collect?

Accepted Solution

A:
Ronna collected [tex]12\frac{3}{4}[/tex] bags of clothesStep-by-step explanation:Tristan and Ronna are collecting clothes for a clothing driveRonna collected 3 times as many clothes as TristanTristan collected [tex]4\frac{1}{4}[/tex] bagsWe need to find how many bags of clothes  Ronna collected∵ Ronna collected 3 times as many clothes as Tristan did- That means Ronna collected 3 × the amount that Tristan did∵ Tristan collected [tex]4\frac{1}{4}[/tex] bags- Multiply the amount of Tristan by 3 to find the amount of Ronna∴ Ronna collected = 3 × [tex]4\frac{1}{4}[/tex]Change the mixed number to improper fraction∵ [tex]4\frac{1}{4}[/tex] = [tex]\frac{(4*4)+1}{4}=\frac{17}{4}[/tex]∴ Ronna collected = 3 × [tex]\frac{17}{4}[/tex]∴ Ronna collected = [tex]\frac{51}{4}[/tex]Change the improper fraction to mixed number by divide 51 by 4∵ 51 ÷ 4 = 12 and reminder 3 (4 × 12 = 48 and 51 - 48 = 3)∴ [tex]\frac{51}{3}=12\frac{3}{4}[/tex]∴ Ronna collected = [tex]12\frac{3}{4}[/tex] bags of clothesRonna collected [tex]12\frac{3}{4}[/tex] bags of clothesLearn more:You can learn more about word problems in brainly.com/question/3950386#LearnwithBrainly