Question

Aleena cuts 3/8 part of ribbon for her project.then again she cuts 4/5 part of the remaining ribbon the next day.find the total length of the Ribbon ,if 6.5 m of ribbon still remain

Answer 1

The total length of the ribbon is 52 m.

• Let x = the original length of the ribbon

Aleena initially cuts 3/8 of the ribbon, i.e. a length of (3/8)x.

• How much is left?

1 - (3/8)x = (5/8)x.

• On the next day, she cuts 4/5 of the remaining ribbon.

i.e. (4/5) * (5/8)x = (20/40)x = (1/2)x

• How much of the ribbon has she now cut away?

(3/8)x + (1/2)x = (3/8)x + (4/8)x = (7/8)x

That means  1 - (7/8)x = (1/8)x remains, and that is a length of 6.5 m.

• We now need to determine the following:

1/8 of what number is 6.5?

Let y = the unknown number.

(1/8)y = 6.5

Multiply both sides of the equation by 8 to clear the fraction.

y = 52 m

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