A 224 cm rope is cut so that one part is 3/4 of the other. How long is the shorter rope? The longer rope?

Given that:

Length of a rope = 224 cm

Rope is cut so that one part is 3/4 of the other.

Solution:

Let one part of a rope be x cm.

So other part of the rope is .

Total length

Now,

Multiply both sides by 4.

Divide both sides by 7.

The value of one part 128 cm.

Second part

Therefore, the length of shorter rope is 96 cm and the length of longer rope is 128 cm.

$14 9/10

Step-by-step explanation:

Ruby had 30 dollars to spend on 3 gifts. She spent 9 7 10 dollars on gift A and 5 2 5 dollars on gift B. How much money did she have left for gift C?

From the above question,

$30 = Gift A + Gift B + Gift C

She spent 9 7/ 10 dollars on gift A and 5 2/5 dollars on gift B.

$30 = $9 7/10 + $5 2/5 + Gift C

Gift C = $30 - ( $9 7/10 + $5 2/5)

Lowest Common Denominator = 10

Gift C = $30 - $14+(7 + 4/10)

Gift C = $30 - $14+(7 + 4/10)

Gift C = $30 - $14+(11/10)

$30 - $14+(1 1/10)

$30 - $15 1/10

Gift C = $14 9/10

Therefore, the amount of money she had left for gift C is $14 9/10