Question

80 beads remain with swati after making three strings using 1/4,1/2 and 1/8 of the beads she had. find thenumber of beads used by swati to make the three strings.

Answer 1

Answer:

560 beads

Step-by-step explanation:

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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