Question

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?

Answer 1

Ronna collected $12\frac{3}{4}$ 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 $4\frac{1}{4}$ 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 $4\frac{1}{4}$ bags

- Multiply the amount of Tristan by 3 to find the amount of Ronna

∴ Ronna collected = 3 × $4\frac{1}{4}$

Change the mixed number to improper fraction

∵ $4\frac{1}{4}$ = $\frac{(4*4)+1}{4}=\frac{17}{4}$

∴ Ronna collected = 3 × $\frac{17}{4}$

∴ Ronna collected = $\frac{51}{4}$

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)

∴ $\frac{51}{3}=12\frac{3}{4}$

∴ Ronna collected = $12\frac{3}{4}$ bags of clothes

Ronna collected $12\frac{3}{4}$ bags of clothes

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