22 similar dumbbells cost $77 altogether while each sandbag costs $1.50 less than each dumbbell. If there are 28 dumbbells and 32 sandbags, what is the average cost of each item?

Answer 1

22 similar dumbbells cost $77 altogether while each sandbag costs $1.50 less than each dumbbell. If there are 28 dumbbells and 32 sandbags, what is the average cost of each item?

An AVERAGE = (sum of values) / (count of values)

The average cost for a dumbbell is $77/22 = $3.50.

For 28 dumbbells, that is (28)*($3.50) = $98.00

"each sandbag costs $1.50 less than each dumbbell" -- So, if you added up the total cost of sandbags and divided by the number of sandbags, the average cost of a sandbag would be $1.50 less than the average cost of a dumbbell.each sandbag costs $1.50 less than each dumbbell That is:

$3.50 - $1.50 = $2.00

For 32 sandbags, that is $64.00.

Math calculations:

Average for dumbbells = M/N = ( sum of then N values ) / N

Now, let each value be $1.50 less:

Average for sandbags = ( sum of N values - $1.50*N) / N = M/N - $1.50