By establishing the proportion between blue and green buttons and using the provided ratios, then calculating based on the number of green buttons, we determine there are 40 red buttons in the box.
Step-by-step explanation:
Given the ratio of red to blue buttons is 5:3, and the ratio of blue to green buttons is 1:2, we can set up a proportion to find the number of red buttons when there are 48 green buttons.
First, we establish the relationship between blue and green buttons. If there are twice as many green buttons as blue buttons, and there are 48 green buttons, then:
Number of blue buttons = 48 / 2 = 24.
Using the ratio of red to blue buttons (5:3), we can calculate:
Number of red buttons = (5 / 3) × Number of blue buttons
Number of red buttons = (5 / 3) × 24 = 40.
Therefore, there are 40 red buttons in the box.
The probable question can be: 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.