3 upon 5 of a ball in the box are red the rest of green and yellow the ratio of of the number green ball to the number of yellow balls is 5:3 if there are 10 left yellow balls 10 green balls how many red balls are there
Answers
3/5 of the balls in a box are red. The rest are green and yellow. The ratio of the number of green balls to the number of yellow balls is 5:3. If there are 10 less yellow balls than green balls, how many red balls are there?
yellow:green is 3:5
To have 10 fewer yellow balls than green, this calculates to 15:25
25+15=40, and 1 - (3/5)=2/5.
So 40 balls make up 2/5ths of the total.
40*(5/2)=100
100-40=60.
There are 60 red balls.
3/5 of the balls in the box are red. So we have 60% of the box being red balls.
The other two types take up the remaining 40%. Their ratio to each other is 5 to 3. So 5/8 of 40% (= 25%) is green, and 3/8 of 40% (= 15%) is yellow.
Green minus yellow equals 10… in order for the subtraction to work out like that, we need to have exactly 25 green balls and 15 yellow balls — since 25 - 15 = 10.
Since 25+15 = 40 and that’s 40% of the box, that means that there are 100 balls total. So since we figured out earlier that 60% of the box is red balls, that means we have 60 red balls.