The ratio of the number of blue sticks to the number of green sticks in a box was 4:1. When David to

Miguel Reynolds

Miguel Reynolds

Answered question

2022-01-18

The ratio of the number of blue sticks to the number of green sticks in a box was 4:1. When David took out some blue and sticks and replaced them with an equal number of green sticks, the ratio of the number of blue sticks to the number of green sticks became 3:1. If there were 185 green sticks in the box now, (a) find the total number of blue and green sticks in the box, (b) find the number of green sticks in the box at first.

Answer & Explanation

Foreckije

Foreckije

Beginner2022-01-18Added 32 answers

Step 1
Let the number of blue sticks in the box be: x
Let the number of green sticks in the box be: y
Step 2
(a).
Now according to the given conditions:
xy=41
x=4y...(1)
Total number of stick in box is: 185
Therefore:
x+y=185...(2)
Solving (1) and (2):
x=148, y=37
Now let n number of blue stick took from the box. Therefore:
148n37+n=32
solving this equation:
n=37
Therefore:
Number of blue stick = 111
Number of green stick = 74
(b).
Number of green stick at first = 37

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Multivariable calculus

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?