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?

Respuesta :

Ronna collected [tex]12\frac{3}{4}[/tex] bags of clothes

Step-by-step explanation:

Tristan and Ronna are collecting clothes for a clothing drive

  • Ronna collected 3 times as many clothes as Tristan
  • Tristan collected [tex]4\frac{1}{4}[/tex] bags

We 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 clothes

Ronna collected [tex]12\frac{3}{4}[/tex] bags of clothes

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