Question

Life or death situation!!! Can someone please help me with this

Answer 1

There are 20 purple marbles.

P = Purple Marbles

Y = Yellow Marbles

Total number of marbles is 44.

P + Y = 44

There are 4 less purple marbles than yellow.

P = Y - 4

Substitute P in the original equation:

Y + Y- 4 = 44

ax = b Formula - Take the four over to the other side:

Y + Y - 4 + 4 = 44 + 4

Y + Y = 48

2Y = 48

x = b Formula - Solve to find Y:

2Y / 2 = 48 / 2

Y = 24

Now find P

P = Y - 4

P = 24 - 4

P = 20

Check the answer is right by substituting both values into the original equation:

P + Y = 44

24 + 20 = 44

20 is 4 less than 24

Answer 2

28

Explanation:

Let P = the number of purple marbles

and Y = the number of yellow marbles. Then

(1) P + Y = 44

(2) P = 2Y -4

Substitute (2) into (1) 2Y - 4 + Y = 44

Combine like terms 3Y - 4 = 44

Add 4 to each side 3Y = 48

Divide each side by 3 (3) Y = 16

Substitute (3) into (2) P = 2 × 16 - 4

P = 32 - 4

P = 28

There are 28 purple marbles.

Check:

(1) 16 + 28 = 44 (2) 28 = 2 × 16 - 4

44 = 44 28 = 32 - 4

28 = 28