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A roll of ribbon was 9 meters long. Kevin cut 8 pieces of ribbon, each of length 0.8 meters, to tie some presents. He then cut the remaining ribbon into pieces, each of length 0.4 meters.

a) How many pieces of ribbon, each 0.4 meters in length, did Kevin have?

b) What was the length of ribbon left over?

Answer :

answer for A is 6 pieces and the answer for B is .2 meters..

Kevin can cut 6 pieces of ribbon each 0.4 meters long. After cutting these, he will have 0.2 meters or 20 centimeters of ribbon left over.

Calculating Pieces of Ribbon and Remaining Length

Let's find out how many pieces of ribbon Kevin has and the length of ribbon left over after his project. To solve this problem, we will follow these steps:

First, calculate the total length of ribbon used in cutting 8 pieces that are each 0.8 meters long.

Subtract that amount from the original length of the ribbon to find the remaining length.

Divide the remaining length by 0.4 meters to find out how many pieces of ribbon of that length can be cut.

Finally, calculate if there's any length left over after cutting these pieces.

For step 1, we have 8 pieces × 0.8 meters/piece = 6.4 meters.

Then, we subtract that from the original 9 meters to find what's left: 9 meters - 6.4 meters = 2.6 meters.

Now, let's divide the remaining 2.6 meters by 0.4 meters to find out how many pieces we can get: 2.6 meters / 0.4 meters/piece = 6.5 pieces. Since we can't have half a piece of ribbon, Kevin can cut 6 pieces of 0.4 meters and will have a bit of ribbon left over.

The leftover ribbon would be the remainder of the division. So, after cutting 6 pieces of 0.4 meters, Kevin has 2.6 meters - (6 pieces × 0.4 meters/piece) = 0.2 meters or 20 centimeters of ribbon leftover.

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