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Exam 4: Solving for the Unknown

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Question 51

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Over the past month, 900 telephones were serviced. If Jill services 8 times as many phones as Rose, how many did each service?

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A. Jill se...

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Question 52

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Mark Greffet sells air fresheners for automobiles for $6.00 and cans of powdered air freshener for $4.00. Total sales were $196. Customers bought 4 times as many air fresheners as powdered air cans. How many of each were sold? What was the total dollar value sold for each?

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24a + 4a = 196
28a =...

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Question 53

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If there are two unknowns, the variable is always assigned to the larger value.

Runyon Company sells T-shirts ($5) and shorts ($6). If total sales were $1,040 and people bought 4 times as many T-shirts as shorts, what would be the number of T-shirts and shorts sold? A. ___________ T-shirts B. ___________ Shorts

In Ryan Corporation, the first shift produced 5 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produced was 16,250, how many lightbulbs were produced on shift 1?

1/8 of all wood stoves are sold for cash. If cash sales were $2,200 for the week, what was the total of all sales? (Let S = sales.)

Variables can only be numbers.

What number increased by 3,080 equals 5,082?

One-ninth of all sales at a local Subway are for cash. If cash sales for the week were $690, what were Subway's total sales?

B/5 + 3 = 15; B = 16.

Mike and Bill sell cars for Jangle's Auto. Over the past year they sold 640 cars. Assuming Mike sells 3 times as many as Bill, how many cars did Mike sell?

In Johnson Corporation, the first shift produced 8 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produced was 24,700, how many lightbulbs were produced on shift 2?

6H + H - 20 = 44 - H; H = 8.

Brian Smith sells sets of movie posters ($12) and baseball cards ($8) at a local flea market. Last Sunday, Brian's total sales were $840. People bought 4 times as many movie posters as baseball cards. How many of each did Brian sell? Check your answer.

B/30 = 9; B = 270.

An equation is:

Jill Co. sells thermometers ($2) and hot water bottles ($6) . If total sales were $312 and customers bought 10 times as many thermometers as hot water bottles, what would be the number of hot water bottles sold?

Peter Mabet sold a total of 400 oatmeal ($1.50) and wheat ($2) breads during the Labor Day weekend. How many of each did Peter sell if total sales were $700? Check your answer. (Let W = wheat.)

B + 40 = 90

One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?