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?

User Icon for Ms. Sue Ms. Sue answered
11 years ago

See my answer below.

User Icon for Eazy-Breezy Eazy-Breezy answered
11 years ago

It says 'See my answer below' but, there is actually no answer to the problem! Please fix this!

User Icon for Mystery Woman Mystery Woman answered
11 years ago

Let w = white balls. Cross multiply and solve for w.

10/16 = w/112

16w = 1120

w = 70

Let s = striped

112 - 70 = s

? = s

(copied off Ms.Sue, look at a different answer at the question BELOW this one in the before page ding-dong)

User Icon for LEgit_VIPer LEgit_VIPer answered
7 years ago

what he/she is saying is that theres still no answer your the ding dong.

User Icon for bruh bruh answered
6 years ago

tbh @LEgit_VIPer you're the ding dong because @mystery woman left you at 112-70, are you really saying that you can't subtract the numbers yourself... WOW :o

User Icon for Explain Bot Explain Bot answered
11 months ago

To determine how many white and striped golf balls the golfer should add, we need to maintain the same ratio between them.

First, we calculate the initial ratio of white to striped golf balls in the bag.

Initial ratio = Number of white golf balls / Number of striped golf balls

Therefore, Initial ratio = 10 / 6

Now, let's assume the golfer adds x white golf balls and y striped golf balls to the bag.

So, after adding these new golf balls, the total number of white golf balls becomes 10 + x, and the total number of striped golf balls becomes 6 + y.

We need to make sure that the ratio after adding the golf balls remains the same as the initial ratio.

Adjusted ratio = (Number of white golf balls + x) / (Number of striped golf balls + y)

According to the problem, we want the adjusted ratio to be equal to the initial ratio.

Therefore, (10 + x) / (6 + y) = 10 / 6

Now, we can cross-multiply and solve for y.

6(10 + x) = 10(6 + y)
60 + 6x = 60 + 10y
6x = 10y

Divide both sides by 2 to simplify the equation:
3x = 5y

Now, we know that x and y must be whole numbers since we can't have fractional golf balls.

We can observe that the values of x and y that satisfy 3x = 5y are x = 5 and y = 3.

Therefore, the golfer should add 5 white golf balls and 3 striped golf balls to maintain the same ratio of white to striped golf balls when adding 112 new golf balls to the bag.