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ladessa [460]
3 years ago
11

Dave Bowers collects U.S. gold coins. He has a collection of 41 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the

face value of the coins is ​$590​, how many of each denomination does he​ have?Dave Bowers collects U.S. gold coins. He has a collection of 34 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$500​, how many of each denomination does he​ have?
Business
2 answers:
taurus [48]3 years ago
3 0

Answer:

1. Dave has 23 ($10 coins) and 18 ($20) coins.

2. Dave has 18 ($10 coins) and 16 ($20) coins.

Explanation:

1.

Let x be the number of $10 coins.

Then, the number of $20 coins will be 41-x.

The equation for the sum of money can be written as:

590 = 10x + 20 * (41-x)

590 = 10x + 820 - 20x

590 - 820 = -10x

-230 / -10 = x

x = 23

This means that Dave has 23 $10 coins and (41-23 = 18) 18 $20 coins that sum up to a face value of $590.

2.

Using the same priciple,

let x be the number of $10 coins

let 34-x be the number of $20 coins

Sum of money equation:

500 = 10x + 20 * (34-x)

500 = 10x + 680 - 20x

500 - 680 = -10x

-180 / -10 = x

x = 18

So, Dave has 18 $10 coins and (34-18 = 16)  16 $20 coins that add up to a face value of $500.

NARA [144]3 years ago
3 0

Answer:

1. He has 23 coins in $10, and 18 coins in $20

2. He has 18 coins in $10, and 16 coins in $20

Explanation:

The number of $10 and $20 are two variables that can only be determined simultaneously. The product of the number of each type of coin with the value of each coin gives the total amount owned.

Let the number of  of $10 coins owned be x and that of $20 be y

If he has a collection of 41 coins then

x + y = 41

If the face value of the coins is ​$590

then,

10x + 20y = 590

solving both simultaneously

x + y = 41

x + 2y = 59

y = 59 - 41

= 18

x = 41- 18

= 23

It means he has 23 coins in $10, and 18 coins in $20.

If he has a collection of 34 coins then

x + y = 34

If the face value of the coins is ​$500

then,

10x + 20y = 500

solving both simultaneously

x + y = 34

x + 2y = 50

y = 50 - 34

= 16

x = 34- 16

= 18

It means he has 18 coins in $10, and 16 coins in $20

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konstantin123 [22]

Answer:

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Explanation:

a. First of all we can convert all the items on the menu to a same unit.

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So in the first week total output of the restaurant is

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or

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The productivity is given by

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Productivity = 2261 Hamburgers/160 Hours

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b. If the restaurant sold 720 of each sandwich, then total output would be given by

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Output = 720 Hamburger + 720*1.29 Hamburger + 720*0.8 Hamburger

Output = 2204.8 Hamburger

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Which would have been lower as that of in the first case.

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3 years ago
Which transactions are typically accounted for by using the relative sales value method to calculate unit purchase cost?
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Answer:

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Basket purchases is a term used for buying multiple fixed assets. It is bought as the price for basket purchases is lower than the price for individual asset. The transactions in the basket purchases are accounted for by using the relative sales value method to calculate unit purchase cost. It is calculated by dividing each sales value of product by the total sales value of all the product.

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A bank reconciliation revealed cash per the bank statement of $1,484, cash per company records of $1,681, bank charges of $11, d
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Answer:

Correct cash balance is $  1,580

Explanation:

Balance as per cash book                                                    $ 1,681

Less: Bank charges                                                               $ (    11)  

Less: NSF cheques                                                                <u>$ (   90)</u>

Adjusted balance per cash book                                         <u> $ 1,580</u>

Balance per bank statement                                                  $ 1,484

Add: Deposits in transit                                                          $    317

Less; Outstanding checks                                                      <u>$ (  221)</u>

Adjusted balance per bank statement                                <u>$ 1,580</u>

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3 years ago
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Answer:

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Answer:

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Explanation:

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