Bag contains purple marbles and yellow marbles, 52 is total.
The number of purple marbles is 4 more than 3 times the number
of yellow marbles. How many purple marbles are there?

40

Step-by-step explanation:

Let the numbers of purple marbles be P and yellow marbles be y

Given

The bag contains purple and yellow marbles = 52

That’s

P + y = 52

Also, the number of purple marbles P is 4 more than 3 times the number of yellow marbles y

That’s

P = 4 + 3y

We now have two equations

1. P + y = 52

2. P = 4 + 3y

Substitute 4 + 3y for P in equation 1

We now have

4 + 3y + y = 52

4 + 4y = 52

Subtract 4 from both sides to eliminate 4 on the left side

4 - 4 + 4y = 52 - 4

4y = 48

Divide both sides by 4 to get y

4y/4 = 48/4

y = 12

Recall

P = 4 + 3y

So

P = 4 + 3 x 12

P = 4 + 36

P = 40

There are 40 purple marbles in the bag

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

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