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?
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Step-by-step explanation:
the ratio between green and yellow balls is 5:3
3 ÷ 5 × g = g - 10
=> 3 × g = 5 × (g - 10)
=> 3g = 5g - 50
=> 5g - 3g = 50
=> 2g = 50
=> g = 25.
y = g-10 => 25-10 = 15
25+15=40, and 1 - (3÷5)=2/5.
So 40 balls make up 2/5ths of the total.
40 x (5÷2)=100
100-40=60.
There are 60 red balls.
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