Question

A box was full of balls. 25% of them were red, 2/5 were yellow and the rest were blue. There were 140
blue balls. How many more percent of yellow balls than red balls were there?step by step...​

Answer 1

Answer:

400 Balls

Step-by-step explanation:

Let the total balls be x

So,

Red Balls = 1/4x

Yellow Balls = 2/5x

Red Balls + Yellow Balls = 1/4x + 2/5x

                                        = 5/20x +8/20x

                                         =13/20x

Left Balls = Blue Balls = x - 13/20x

                                    =20/20x - 13/20x

                                    = 7/20x

Blue Balls = 140 = 7/20x

                    x = 140*20/7

                        = 400 Balls

Answer 2

Answer:

There are 15% more Yellow balls than Red balls in box

Step-by-step explanation:

$A \: \: box \: \: was \: \: full \: \: of \: \: balls \\ \\ 25\% = \frac{1}{4} \: \: of \: \: them \: \: were \: \: Red \\ \frac{2}{5} \: \: of \: \: them \: \: were \: \: Yellow \\ Then, \\ Number \: \: of \: \: Remaining \: \: balls : \\ 1 - \frac{1}{4} - \frac{2}{5} \\ = \frac{20 - 5 - 8}{20} \\ = \frac{7}{20} \\ \\ Therefore, \\ Total \: \: unit \: \: of \: \: balls \: \: in \: \: box = 20 \\ \\ Remaining \: \: balls \: \: were \: \: Blue \\ Total \: \: unit \: \: of \: \: Blue\: \: balls = 7 \\ Then, \: \: Total \: \: number \: \: of \: \: Blue\: \: balls : \\ 20 \times 7 = 140 \\ \\ 25\% = \frac{1}{4} \: \: of \: \: them \: \: were \: \: Red \\ Total \: \: unit \: \: of \: \: Red\: \: balls \\ \frac{1}{_{1 \: \: } \cancel 4} \times \cancel{ 20}_{ \: \: 5} = 5 \: \: units \\ Then, \: \: Total \: \: number \: \: of \: \: Red\: \: balls : \\ 20 \times 5 = 100 \\ \\ \frac{2}{5} \: \: of \: \: them \: \: were \: \: Yellow \\ Total \: \: unit \: \: of \: \: Yellow\: \: balls \\ \frac{2}{ _{1 \: \: } \cancel 5} \times \cancel{ 20}_{ \: \: 4} = 8 \: \: units \\ Then, \: \: Total \: \: number \: \: of \: \: Yellow\: \: balls : \\ 20 \times 8 = 160 \\ \\ Total \: \: number \: \: of \: \: balls \: \: in \: \: box : \\ Red : \: \: \: \: \: \: 100 \\ Yellow : 160 \\ Blue : \: \: \: \: 140 \\ - - - - - - - \\ Total : \: \: 400 \\ - - - - - - - \\ \\\% \: \: of \: \: Red \: \: balls \: \: in \: \: box : \\ \frac{100}{4 \cancel {00}} \times 1 \cancel {00 } \\ \boxed{ = \underline{ \underline{ 25\% }}}\\ \\ \% \: \: of \: \: Yellow \: \: balls \: \: in \: \: box : \\ \frac{_{40 \: \: } \cancel{ 160}}{ _{1 \: \: } \cancel 4 \cancel{ 00}} \times 1 \cancel{ 00} \\ \boxed{ = \underline{ \underline{ 40\%}}} \\ \\ 40\% - 25\% = 15\%$