Question

80 beads remained with Swati after making 3 strings using 1/4, 1/2, and 1/8of the beads she had. find the number of beads used by Swati to make the three strings

Answer 1

let 1st string be x/4
2nd string = x/2
3rd string = x/8
a to q
x/4 + x/2 + x/8 = 80
( 2x + 4x + x )/8 = 80
7x/8 = 80
7x = 80 × 8
7x = 640
x = 640/7
x = 91.42857
then you put the value and solve

Answer 2

Swathi used 560 beads to make the three strings

Solution:

Given,

Number of beads remained = 80

Find the Parts of beads remaining

$\text{Parts of beads remaining} = 1 - ( \frac{1}{4} + \frac{1}{2} + \frac{1}{8})\\\\\text{Parts of beads remaining} = 1 - \frac{7}{8}\\\\\text{Parts of beads remaining} =\frac{1}{8}$

$\text{Percentage of beads remaining } = \frac{1}{8} \times 100 \% \\\\\text{Percentage of beads remaining } = 12.5 \%$

Thus,

12.5 % = 80 beads

100 % = "x" beads

Cross multiply

$12.5 \times x = 80 \times 100\\\\x = 640$

Thus she had 640 beads

Then,

Number of beads used = 640 - 80 = 560

Thus she used 560 beads to make the three strings

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