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kolbaska11 [484]
3 years ago
8

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

white marbles. How many purple marbles are there?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
3 0

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

Learn more about linear equations at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

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