For the following problems, tell what operation(s) you need to use. then, write and solve an equation for each problem.

bill bought a computer and a printer for a total of $650. the computer cost $525. how much did he pay for the printer alone? (let p stand for the cost of the printer.)
bonnie loves to order products online. she ordered 27 products from one company, but unfortunately, some items were back-ordered, so she received only 19 items. how many items were missing from her order? (let m stand for the number of missing items.)
terri bought four lipsticks for a total cost of $20. assuming each lipstick cost the same amount, how much did one lipstick cost? (let l stand for the cost of one lipstick.)
brian is conducting surveys for a research paper. each survey takes him about 10 minutes to complete, so he can get 6 done per hour. at this rate, how many hours will it take brian to complete 30 surveys? (let h stand for the number of hours.)
andy played golf three times during his vacation. his scores were 92, 87, and 88. what was his average golf score during his vacation? (let a stand for the average.)
tickets to a local basketball team’s games cost $12 each. brendon and ed each bought tickets to four games. how much did they spend on tickets altogether? (let t stand for the amount spent on tickets.)

Solution-

1.

Bill bought a computer and a printer for a total of $650.

Let p stand for the cost of the printer, so

2.

Bonnie ordered 27 products from one company

Let m stand for the number of missing items

3.

Terri bought four lipsticks for a total cost of $20

Let l stand for the cost of one lipstick.

4.

Each survey takes him about 10 minutes to complete

Let h stand for the number of hours

5.

Andy played golf three times during his vacation. His scores were 92, 87, and 88.

Let A stands for the average.

6.

Tickets to a local basketball team’s games cost $12 each. Brendon and Ed each bought tickets to four games.

Total tickets = 2×4=8 (∵ They each bought 4 tickets)

(Let t stand for the amount spent on tickets.

1. In this question subtraction operation will be used.

Let the price of printer be = p

Total amount paid = $650

Price of computer = $525

So, the price of printer will be ,

Hence the price of printer is $125.

2. In this question subtraction operation will be used.

Let the number of missing items be = m

Number of products ordered = 27

Number of products received = 19

So, number of missing orders =

3. In this question, division operation is used.

Let the cost of one lipstick = L

Cost of 4 lipsticks = 20

Cost of 1 lipstick =

Hence, the cost of 1 lipstick = $5

4. In this question, division operation is used.

Let the number of hours taken to do 30 surveys = h

6 surveys are done in = 1 hour

1 survey is done in =

so, 30 surveys will be done in = hours.

5. In this question. addition and division operations are used.

Let the average be = A

Sum of scores =

A=

Hence, average is 89.

6. In this question, multiplication operation is used.

Let the amount spent on tickets be = t

As given, Brendon and Ed each bought tickets to 4 games, so total tickets bought = 8

Cost of 1 ticket = $12

Cost of 8 tickets =

Hence total amount is $96.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

answer: the common difference is -0.10