Question

80 beads remained with swati after making 3 string using $$\frac { 1 }{ 4 } ,\frac { 1 }{ 2 } \quad and\quad \frac { 1 }{ 8 } $$ of the beats she had. Find the number of beads used by swati to makr the three strings.

Answer 1

Correct option is A. 320
Let the total beads be $$x$$

According to Question

$$Beads \ Remained=Total \ Beads- Beads \ Used$$

$$\rightarrow80=x-(\dfrac{x}{4}+\dfrac{x}{2}+\dfrac{x}{8})$$

$$\rightarrow80=x-(\dfrac{2x+4x+x}{8})$$

$$\rightarrow80=x-(\dfrac{7x}{8})$$

$$\rightarrow80=\dfrac{x}{8}$$

$$\rightarrow x=640$$

Beads Used =Total Beads$$-$$Beads Remained

$$Beads \ Used =640-80$$

$$Beads \ Used =560$$

Correct Answer is $$C$$