Aisha had a roll of ribbon. She used $$ 15 \% $$ of the ribbon to decorate cards and had 17 feet of ribbon left. She then used $$ 20 \% $$ of the remaining ribbon to wrap gifts. a What was the original length of the roll of ribbon? b What was the remaining length of ribbon after Aisha used them to wrap gifts?

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Let's solve the problem step by step.

### Part a: Finding the Original Length of the Ribbon

Let $$ L $$ be the original length of the ribbon.

1. **Usage for Decorating Cards:**
   - Aisha used $$ 15\% $$ of the ribbon to decorate cards.
   - Therefore, the remaining ribbon after this usage is $$ 85\% $$ of $$ L $$.
   
   $$
   0.85L = 17 \text{ feet}
   $$

2. **Solving for $$ L $$:**

$$
   L = \frac{17 \text{ feet}}{0.85} = 20 \text{ feet}
   $$

**Answer:** The original length of the ribbon was **20 feet**.

### Part b: Calculating the Remaining Ribbon After Wrapping Gifts

After decorating the cards, Aisha had **17 feet** of ribbon left.

1. **Usage for Wrapping Gifts:**
   - She used $$ 20\% $$ of the remaining ribbon to wrap gifts.
   - The length of ribbon used for gifts is:
   
   $$
   0.20 \times 17 \text{ feet} = 3.4 \text{ feet}
   $$

2. **Calculating Remaining Ribbon:**

$$
   17 \text{ feet} - 3.4 \text{ feet} = 13.6 \text{ feet}
   $$

**Answer:** After wrapping gifts, **13.6 feet** of ribbon remained.

### Summary

a. **20 feet**  
b. **13.6 feet**
a. The original length of the ribbon was **20 feet**. b. After wrapping gifts, **13.6 feet** of ribbon remained.

Aisha had a roll of ribbon. She used of the ribbon to decorate cards and had
17 feet of ribbon left. She then used of the remaining ribbon to wrap gifts.
a What was the original length of the roll of ribbon?
b What was the remaining length of ribbon after Aisha used them to wrap gifts?

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Aisha had a roll of ribbon. She used of the ribbon to decorate cards and had 17 feet of ribbon left. She then used of the remaining ribbon to wrap gifts. a What was the original length of the roll of ribbon? b What was the remaining length of ribbon after Aisha used them to wrap gifts?