Question

a certain no. of toffees are shared among a b c in rarion 1/2:1/3:1/4 if c gets 6 toffees find how many did a and b get

Answer 1

$\mathbf{Let \: total \: number \: of \: toffees \: is \: \: x ,} \\ \\ Hence, \\ \\ \bold{ a \: \: got = \frac{1}{2} × x = \frac{x}{2} } \\ \\ \bold{ b \: got = \frac{1}{3} × x = \frac{x}{3} } \\ \\ \bold{ c \: got = \frac{1}{4} × x = \frac{x}{4} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(i)$




Given in question that c gets 6 toffees, So from ( i ), we got



$\bold{ = > \frac{x}{4} = 6} \\ \\ => \bold{x = 6 \times 4} \\ \\ = > \bold{x = 24}$






Total number of toffees = 24



Hence,

$\mathbf{ a \: got = \frac{x}{2} = \frac{24}{2} = 12 \: toffees} \\ \\ \mathbf{b \: got = \frac{x}{3} = \frac{24}{3} = 8 \: toffees}$

Answer 2

Your answer :-

Let the total number of toffees = x

No. of toffees

$\textbf {a}$ got = 1/2

$\textbf {b}$ got = 1/3

$\textbf {c}$ got = 1/4

$\textbf {a}$ = 1/2 \times x = x/2

$\textbf {b}$ = 1/3 \times x = x/3

$\textbf {c}$ = 1/4 \times x = x/4

According to question :-

$\textbf {c got 6 toffees}$

So,

=> x/4 = 6

Cross multiplication

=> x = 6 × 4

=> x = 24

From this information we can easily get the value of $\textbf {a}$ and $\textbf {b}$

=> $\textbf {a}$ = x/2 = 24/2 = $\textbf {12}$

=> $\textbf {b}$ = x/3 = \frac 24/3 = $\textbf {8}$

=> $\textbf {c}$ = x/4 = 24/4 = $\textbf {6}$

$\textbox {Thanks!!}$