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Business Mathematics Study Set 1
Quiz 2: Review and Applications of Algebra
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Question 381
Short Answer
The annual net income of the Todd Bros. partnership is distributed so that Ken receives $15,000 more than 80% of Hugh's share. How should a net income of $98,430 be divided between the partners?
Question 382
Short Answer
Tina drove from Calgary to Vancouver, a distance of 1,000 km, in 12.3 hours. She drove at 100 km/h on the "open road," but slowed to 50 km/h on urban and curving roads. What distance did she drive at each speed?
Question 383
Short Answer
A manufacturing firm pays monthly salaries of $3,400 to each production worker and $2,800 to each assembly worker. As the economy drops into a recession, the firm decides to reduce its total monthly manufacturing payroll from $253,800 to $198,000 by laying off 20% of its production workers and 25% of its assembly workers. How many layoffs will there be from each of the assembly and production divisions?
Question 384
Short Answer
Larissa works in a retail store in Square One in Mississauga. She earns a base salary of $320 per week, and a commission of 3% on sales over her quota of $5,000. If Larissa earned $515 last week, what was the value of her sales?
Question 385
Short Answer
A convenience store sells canned soft drinks at $4.35 for a six-pack or 90 cents for a single can. If revenue from the sale of 225 cans of soft drinks on a weekend was $178.35, how many six-packs and how many single cans were sold?
Question 386
Short Answer
The Canucks charge $150 for Premium Tickets and $80 for Standard Tickets. If 18,500 tickets were sold for the Montreal game and $2,215,000 in revenues were recorded, how many Premium and Standard tickets were sold?
Question 387
Short Answer
Bart purchased 60% of a three-eighths interest in a ski chalet for $25,000. What was the implied value of the chalet?
Question 388
Short Answer
Kristina is in charge of billing for a company that does computer training. She is preparing an invoice for $1,340 for 32 hours of work, which includes training at $70 per hour and preparation of a manual at $25 per hour. How many hours of training are included in the invoice?
Question 389
Short Answer
José works in a toy manufacturing plant. The wooden toy he fabricates requires three steps: cutting, assembly, and painting. Assembly takes two minutes longer than half the cutting time, and painting requires half a minute longer than half the assembly time. How long does each step require if José made 72 units in 42 hours of work?
Question 390
Short Answer
$1.5 million in bonus will be distributed to employees. Regular employees will each get an equal amount. Middle managers will get 2.5 times the regular employees bonus, while the executives get 5 times the bonus of middle managers. There are forty middle managers, 350 employees and 15 executives. Determine the bonus for regular employees, middle managers and executives.
Question 391
Short Answer
During a one-day special, a grocery store sells cucumbers at 98 cents each or four for the price of three. At the end of the day, the store's computer reports that revenue from the sale of 541 cucumbers was $418.46. How many cucumbers were sold on the four-for-three promotion?
Question 392
Short Answer
Dash Canada offers two long-distance telephone plans. Plan X costs 13 cents per minute for calls between 8 a.m. and 6 p.m. weekdays (business hours) and 9 cents per minute at other times. Plan Y costs 10.6 cents per minute any time. Above what percentage of business-hour usage will Plan Y be cheaper?
Question 393
Short Answer
Sam earns $17.00 per hour for a forty-hour week. His overtime rate is 1 ½ times any hours exceeding forty in a week. If Sam earned $807.50 last week, how many overtime hours did he work?
Question 394
Short Answer
Tickets for the end of semester dance sold for $10 if purchased in advance, and $15 if purchased at the door. If 392 tickets were sold for a total of $4280, how many tickets were sold at the door?
Question 395
Short Answer
As a fundraiser, a local charity sold raffle tickets on a trip to Disney World at $2 each or three for $5. In all, 3,884 tickets were sold for a total of $6,925. How many people bought tickets at the three for $5 discount?
Question 396
Short Answer
$100,000 is to be distributed under a firm's profit-sharing plan. Each of 3 managers is to receive 20% more than each of 26 production workers. How much will each manager and production worker receive?
Question 397
Short Answer
Mrs. Simone invested $20,000 in two investments paying 2% and 3% respectively. She earned $460 interest for the year. How much did Mrs. Simone invest at 3%?
Question 398
Short Answer
The Hungry Heifer diner offers an all-you-can-eat buffet at $12.95 per adult and $8.95 per child. On a particular day, the diner had total buffet revenue of $3,304.70 from 266 customers. How many of the customers were children?
Question 399
Short Answer
David's portfolio consists of bonds and equity. The bond market rose by 2.5%, while the equity market dropped by 10.5%. David's portfolio increased by 1.25%. What portion of bonds and equity did he have in his portfolio?