Question

My Brain Can't figure how to write this out.

A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?

Answer 1

I know that. The white balls in there are 70.

Answer 2

And I need it in text form. Not Drawing.

Answer 3

um so srry idk

Answer 4

:(

Answer 5

ok let w = number of added white balls
Let s = number of added striped balls
Final number of balls = 10 + 6 + 112 = 128 = 10 + w + 6 + s
128 = 16 + w + s
w = 112 - s........................(1)
The ratio of white to striped balls must remain as 10/6
Then we can write the following equation:
\[\frac{ 10+w }{ 6+s }=\frac{ 10 }{ 6 }\]
Cross-multiplying gives:
60 + 6w = 60 + 10s
So 6w = 10s.............(2)
Now you just need to substitute the value for w found in (1) into (2) and solve for s.

Answer 6

@shelbygt520 That is way to complex mind if you put it down it to a more simple way?

Answer 7

sure

Answer 8

that is a detailed explanation, there is no shortcut. only looks long because all the steps are there

Answer 9

ratio white:striped=10:6 so\[10x+6x = 16+112 = 128 \]
16x=128 so x=8
Now there are 80 white and 48 striped now you subtract 80-10 which equals 70 and then you subtract 48 minus 6 which is equal to 42 and there's your answer.

Answer 10

THANKS!!!!!!

Answer 11

Anytime! :D