In July, a company's IT department logged a set of service tickets. Of these tickets, \fra… — ACT

In July, a company's IT department logged a set of service tickets. Of these tickets, $\frac{3}{10}$ were categorized as hardware issues, $45\%$ were categorized as software issues, and the remaining 60 tickets were categorized as network issues. What was the total number of service tickets logged by the IT department in July?

Answer: 240 tickets

Answer

The total number of service tickets logged in July was 240.

Converting

\frac{3}{10}

gives

30\%

. Combining hardware (

30\%

) and software (

45\%

) issues yields

75\%

of the total tickets. The network tickets make up the remaining

25\%

(

100\% - 75\%

). Setting

25\%

of the total equal to 60 tickets gives a total of

\frac{60}{0.25} = 240

service tickets.

Step-by-Step Solution

Convert the fraction of hardware tickets to a percentage

\frac{3}{10} = 0.30 = 30\%

Expressing all portions as percentages enables direct combination.

Sum the percentages for hardware and software tickets

30\% + 45\% = 75\%

This determines the combined percentage of the non-network tickets.

Determine the remaining percentage corresponding to network tickets

100\% - 75\% = 25\%

The total of all categories must sum to 100%.

Calculate the total number of service tickets

\frac{60}{0.25} = 240

Dividing the quantity of network tickets by their decimal equivalent of 0.25 gives the total count.

Key Concept

Combining fractions and percentages to solve for an unknown whole amount

Estimated Time:1m 30s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic