A bag contains purple marbles and white marbles, 34 in total. The number of purple marbles is 1 less than 4 times the number of

Question

2 years ago

8

white marbles. How many purple marbles are there?

1 answer:

Oksi-84 [34.3K] · Answer 1 · 2021-12-30T19:36:34+03:00

There are 27 purple marbles

Step-by-step explanation:

Let p be the purple marbles

and

w be the white marbles

Then according to given statements

$p+w = 34\ \ \ Eqn\ 1\\p = 4w-1\ \ \ Eqn 2$

Putting p = 4w-1 in equation 1

$4w-1 +w = 34$

Adding one on both sides

$5w-1+1 = 34+1\\5w = 35$

Dividing both sides by 5

$\frac{5w}{5} = \frac{35}{5}\\w = 7$

Putting w = 7 in equation 2

$p = 4(7)-1\\p = 28-1\\p = 27$

Hence,

There are 27 purple marbles

Keywords: Linear equation

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