Question

The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?

Answer 1

Answer:

$Average = 10$

Step-by-step explanation:

Given

$First\ Three = 14$ --- Average

$Next\ Seven= 4$ --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

$\frac{x}{3} = 14$

Solve for x

$x = 14 * 3$

$x = 42$

Represent the sum of the next seven with y.

So:

$\frac{y}{7} = 4$

Solve for y

$y = 4 * 7$

$y = 28$

The overall average is calculated as thus:

$Average = \frac{x + y}{7}$

$Average = \frac{42 + 28}{7}$

$Average = \frac{70}{7}$

$Average = 10$