Nurse’s Distribution of Gloves in Containers
Problem Overview
A nurse has 100 gloves that she organizes into four containers. The distribution of gloves is designed so that each container contains two more gloves than the previous one.
Calculation of Gloves in Each Container
Let X represent the number of gloves in the first container. Consequently, the number of gloves in each subsequent container can be established as follows:
– First container: X gloves
– Second container: X + 2 gloves
– Third container: X + 4 gloves
– Fourth container: X + 6 gloves
To find the total number of gloves, we set up the equation:
X + (X + 2) + (X + 4) + (X + 6) = 100.
Solving the Equation
Combining the terms, we get:
4X + 12 = 100.
Next, we solve for X:
4X = 100 – 12,
4X = 88,
X = 22.
Final Distribution of Gloves
Based on the value of X, the distribution of gloves in each container is as follows:
– First container: 22 gloves
– Second container: 24 gloves
– Third container: 26 gloves
– Fourth container: 28 gloves