A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than y

Question

3 years ago

11

ellow balls, and 30 fewer green balls than red balls. How many green balls does it have?

1 answer:

Ksivusya [100] · Answer 1 · 2023-01-08T11:43:39+03:00

The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382 (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0 (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52 (3)

Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls