High School

Emily has 98 inches of ribbon to wrap some gifts. She uses \(\frac{1}{2}\) of the ribbon to wrap one gift and \(\frac{3}{8}\) of the remaining ribbon to make a bow. She also needs 35 inches of ribbon to tie around a second gift. Does Emily have enough ribbon to finish wrapping the second gift?

Answer :

Answer:

Emily does not have enough ribbon to finish wrapping the second gift.

Step-by-step explanation:

Emily has 98 inches of ribbon to wrap some gifts.

a)She uses 1/2 of the ribbon to wrap one gift

The inches of ribbon required to wrap 1 gift =

1/2 × 98 inches = 49 inches

The inches ribbon left = 98 - 49 = 49 inches

b) 3/8 of the remaining ribbon to make a bow.

The inches of ribbon used to make a bow is calculated as:

3/8 × 49 inches

= 18.375 inches

The inches of ribbon left is calculated as:

49 inches - 18.375 inches

= 30.625 inches of ribbon

We are told that:

She also needs 35 inches of ribbon to tie around a second gift.

From the above calculations, Emily does not have enough ribbon to finish wrapping the second gift.

After using half of her ribbon for one gift and 3/8 of the remaining ribbon for a bow, Emily does not have the 35 inches needed to wrap the second gift as she only has 30.625 inches left.

Emily starts with 98 inches of ribbon. First, she uses 1/2 of the ribbon to wrap one gift, which is 98/2 = 49 inches. This leaves her with 98 - 49 = 49 inches remaining.

Next, she uses 3/8 of the remaining ribbon to make a bow. So, she uses 3/8 × 49 = 18.375 inches for the bow, leaving her with 49 - 18.375 = 30.625 inches of ribbon.

Lastly, Emily needs 35 inches of ribbon to tie around a second gift. However, she only has 30.625 inches left, which is not enough. Therefore, Emily does not have enough ribbon to finish wrapping the second gift.

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