If vacuums cost $249 each, then how many vacuums must a salesperson sell to make a commission of $600 with a 20% commission rate? Solve using a proportion. Your answer should include a number with a label. For example, 22 blankets.

About 12 vacuums

Step-by-step explanation:

Commission refers to the sum of money, calculated in percentage, a person gets for helping another person sell his goods or perform a service.

The cost of one (1) vacuum is $249.

A salesperson is given 20% commission for each vacuum he/she sells. This means that, for each vacuum sold, the salesperson gets:

20% of $249 =

= 20/100 × 249

= 20 × 2.49

= 49.8

The salesperson gets $49.8 on every vacuum sold.

According to the question, to get an accumulated commission of $600, the salesperson must sell a specific number of vacuums.

Solving this using proportion (direct), we say;

If $49.8 commission is actualized on 1 vacuum sold

Then, $600 commission will be actualized on ?

Mathematically,

$49.8 commission = 1 vacuum

$600 commission = 600÷49.8

= 12.0481

Approximately, a total of 12 vacuums needs to be sold by the salesperson in order to accrue a $600 commission.

This is a direct proportion because as the number of vacuums sold increases, the commission of the salesperson also increases.

step-by-step explanation:

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