A bag contains purple and white marbles,82 in total.The number of purple marble is 2 more than 4 times the number of white marbl

Question

4 years ago

11

es. How many purple marbles are there

1 answer:

defon · Answer 1 · 2022-01-23T14:31:37+03:00

There are 66 purple marbles in the bag.

Step-by-step explanation:

Given,

Total number of marbles in bag = 82

Let,

Number of purple marbles = x

Number of white marbles = y

According to given statement;

x+y=82 Eqn 1

The number of purple marble is 2 more than 4 times the number of white marbles.

x=4y+2 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(4y+2)+y=82\\4y+2+y=82\\5y=82-2\\5y=80$

Dividing both sides by 5

$\frac{5y}{5}=\frac{80}{5}\\y=16$

Putting y=16 in Eqn 2

$x=4(16)+2\\x=64+2\\x=66$

There are 66 purple marbles in the bag.

Keywords: linear equation, variable

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