Concept explainers
You go to a convenience store to buy candy and find the owner to be rather odd. He allows you to buy pieces only in multiples of tour, and to buy four, you need $0.23. He allows you only to use 3 pennies and 2 dimes. You have a bunch of pennies and dimes, and instead of counting them, you decide to weigh them. You have 636.3 g of pennies, and each penny weighs an average of 3.03 g. Each dime weighs an average of 2.29 g. Each piece of candy weighs an average of 10.23 g.
- How many pennies do you have?
- How many dimes do you need to buy as much candy as possible?
- How much would all of your dimes weigh?
- How many pieces of candy could you buy (based on the number of dimes from part b)?
- How much would this candy weigh?
- How many pieces of candy could you buy with twice as many dimes?
(a)
Interpretation:
Number of pennies on hand should to be calculated ·
Concept Introduction:
An arithmetical multiplier which is used for converting a quantity expressed in one unit into another equivalent set of units is said to be conversion factor.
Answer to Problem 2ALQ
There are
Explanation of Solution
Total weight of the pennies are product of single unit of pennies ·
Following equation can be applied for solving problem ·
Where,
Total weight of pennies on the hand is equals to
Average weight of a penny is equals to
Substitute
There are
(b)
Interpretation:
Number of dimes need to buy candies as much as possible should be calculated.
Concept Introduction:
An arithmetical multiplier which is used for converting a quantity expressed in one unit into another equivalent set of units is said to be conversion factor.
Answer to Problem 2ALQ
There should be
Explanation of Solution
Seller is accepting only 3 pennies and 2 dimes. There are 210 pennies on the hand, therefore dimes can be used to buy can be calculated according to following equation.
Where ,
Substitute
There should be
(c)
Interpretation:
Weight of all dimes should be calculated.
Concept Introduction:
An arithmetical multiplier which is used for converting a quantity expressed in one unit into another equivalent set of units is said to be conversion factor.
Answer to Problem 2ALQ
Total weight of the dimes is equal to
Explanation of Solution
Total weight of dimes equals to number of dimes into average weight of a dime ·
Following equation can be used for the calculation.
Where,
Substitute total number of dimes is
Total weight of dimes is equals to
(d)
Interpretation:
Amount of candies that can be bought should be calculated.
Concept Introduction:
An arithmetical multiplier which is used for converting a quantity expressed in one unit into another equivalent set of units is said to be conversion factor.
Answer to Problem 2ALQ
Number of candies that can be bought is
Explanation of Solution
Total sum of pennies and total sum of dimes is the total money which can be spent for candies. Following equation can be used to determine total amount of candies.
Where,
Substitute value of a dime is equals to
Number of candies can be bought is
(e)
Interpretation:
Total weight of candies should be calculated.
Concept Introduction:
An arithmetical multiplier which is used for converting a quantity expressed in one unit into another equivalent set of units is said to be conversion factor.
Answer to Problem 2ALQ
Total weight of the candies is equals to
Explanation of Solution
Total weight is the total sum of all candies bought·
Following equation can be used for calculation of total weight.
Where,
Substitute number of candies is
Weight of candies is
(e)
Interpretation:
Number of candies can be bought with twice of dimes should be calculated.
Concept Introduction:
An arithmetical multiplier which is used for converting a quantity expressed in one unit into another equivalent set of units is said to be conversion factor.
Answer to Problem 2ALQ
Number of candies can be bought with twice of dimes is
Explanation of Solution
Even though dimes twice of dime (
Number of candies can be bought is
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Chapter 2 Solutions
Student Solutions Manual For Zumdahl/decoste's Introductory Chemistry: A Foundation, 8th Edition
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