7 In a box, number of red buttons: number of blue buttons = 5 : 3 number of blue buttons: number of green buttons = 1: 2 There are 48 green buttons in the box. Work out the number of red buttons in the box.
Answers
Answer:
Let the number of Green buttons be 2x and blue buttons be x
Number of Green buttons= 48
2x= 48
x= 48/2= 24
So , number of blue buttons= 24
Ratio of red buttons: blue buttons= 5:3
let the number of blue Buttons be 3x and Red buttons be 5x
3x= 24
x= 24/3= 8
So, number of Red buttons= 5× 8= 40
Hope it Helps
Answer:
Number of red buttons = 40
Step-by-step explanation:
- Given data: Inside the box there are three types of buttons - red button, blue button and green button.
Let, express number of red button as 'R', blue button as 'B' and green button as 'G.'
The ratio R:B = 5:3 and B:G = 1:2 and G = 48
- Suppose 'x' is the common factor of the ratio, B:G = 1:2
So B = x and G = 2x
From mentioned data in question, G = 48
So, we can write 2x = 48 or, x = 24
B = Number of blue buttons = 24
- Suppose 'y' is the common factor of the ratio, R:B = 5:3
Then R = 5y and B = 3y
From above calculation we got, B = 24
Comparing the value of 'B' we can write, 3y = 24 or, y = 8
R = Number of red buttons = 5 × 8 = 40
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