English, asked by BrainlySeth, 2 months ago

Rita had 90 candies. She distributed some among her
friends. She found the ratio of the candies remaining,
to the total number of candies in the beginning was
2:5. How many candies did she distribute?

NO SPAM PLEASE !​

Answers

Answered by Anonymous
7

Answer:

54

Step-by-step Explanation:

 \underline{ \green{ \huge{ \tt \pmb{Given:-}}}}

• Number of total candies = 90

• Number of total candies = 90 • Ratio of the candies remaining to the total number of candies is 2 : 5 .

\underline{ \green{ \huge{ \tt \pmb{To \:  Find:-}}}}

Number of distributed candies

\underline{ \green{ \huge{ \tt \pmb{Solution:-}}}}

Let the number of distributed candies be x.

 \large{ \bf{ \purple{The \: number  \: of \:  remaining  \: candies} = Total \:  number }}  \\ \large{ \bf{of\:  candies \:  - The  \: number  \: of  \: distributed \:  candies}} \\  =  \large{ \bf{ \purple{90 - x}}} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

 \sf{ \pmb{A/Q,}}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\   \\  \bf{\frac{ \purple{number \: of \: remaining \: candies}}{ \bf{ \orange{total \: number \: of \: candies}} } =    \pink{\frac{2}{5} } } \\\  \Rightarrow  \:  \:   \:  \: \sf{ \pmb{ \frac{90 - x}{90} =  \frac{2}{5} }}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:\\\Rightarrow \sf{ \pmb{5(90 - x) = 2 \times 90}}  \:  \:  \:  \:  \: \\ \Rightarrow\sf{ \pmb{450 - 5x = 180}}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\ \Rightarrow \:  \:  \:  \sf{ \pmb{5x = 450 - 180}}  \:  \:  \:  \:  \:  \:  \:  \: \\\Rightarrow \:  \:  \:  \:  \:  \:  \:  \: \sf{ \pmb{5x = 270}}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \\\Rightarrow \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \sf{ \pmb{x =  \frac{270}{ 5} }} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ \sf{ \pmb{ {\therefore } \:  \: \pink{ x = 54}}} \:  \:  \:  \:  \:  \:  \:

The number of candies that she distributed = 54.

Similar questions