In a box, number of red buttons: number of blue buttons = 5:3 number of blue buttons: number of green buttons = 1:2There are 48 green buttons in the box.Work out the number of red buttons in the box.
Accepted Solution
A:
Answer:Number of red buttons = 40Step-by-step explanation:red : blue = 5:3blue : green = 1:2Green is 48.We find blue first.blue : green = blue / green1:2 = 1/2 b - blue1/2 = b/48Cross multiply48 × 1 = 2 × b48 = 2b48 ÷ 2 = b24 = bBlue : Green = 24 : 48Now we find red.red : blue = red / blue5 : 3 = 5 / 3r - red5/3 = r/24Cross multiply.5 × 24 = 3 × r120 = 3r120 ÷ 3 = r40 = r