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labwork [276]
4 years ago
14

Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidently recorded it as a credit

rather than his debit. How will his check register compare to his monthly bank statement when he receives it?
Mathematics
2 answers:
Arada [10]4 years ago
8 0

Answer:

76 dollars more

Step-by-step explanation:

Given that Adam wrote a check for $38 to pay his monthly gas bill.

Normally cheques issued would be debited to the account maintained by the customer thus making the balance less than the previous one.

If the customer had x as balance after cheque issued the balance would be x-38

This is a debit entry

But since Adam by mistake entered as credit, he would have recorded in his books balance as x+38

Thus as a result of this

Adam check register shows x+38-(x-38)

= 76 dollars more than monthly bank statement

Alex73 [517]4 years ago
7 0
It would be $76 over, I hope this helps.
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3 years ago
You are making 5 Autumn Classic bouquets for your friends. You have $610 to spend and want 24 flowers for each bouquet. Roses co
BaLLatris [955]

There are 16 roses, 2 tulips, and 6 lilies in each Autumn Classic bouquet

Step-by-step explanation:

The information in the problem:

1. You have $610 to make five Autumn Classic bouquets for your friends

2. Each bouquet has 24 flowers

3. Roses cost $6 each, tulips cost $4 each, and lilies cost $3 each

4. You want to have twice as many roses as the other 2 flowers

    combined in each bouquet

We need to find how many roses, tulips, and lilies you include in each

Autumn Classic bouquet

Assume that the number of roses is R, the number of tulips is T and

the number of lilies is L in each bouquet

∵ There are R roses, T tulips and L lilies in each bouquet

∵ The number of flowers in each bouquet is 24

∵ R + T + L = 24 ⇒ (1)

∵ He has $610 to make the 5 bouquets

∴ He spends in each bouquet = 610 ÷ 5 = $122

∵ Each rose costs $6

∵ Each tulip costs $4

∵ Each Lillie costs $3

∴ 6R + 4T + 3L = 122 ⇒ (2)

∵ The number of roses is twice the sum of the numbers of the

   other 2 flowers

∴ R = 2(T + L)

∴ R = 2T + 2L ⇒ (3)

Substitute R in equations (1) and (2) by equation (3)

∵ (2T + 2L) + T + L = 24

- Add like terms in the left hand side

∴ 3T + 3L = 24 ⇒ (4)

∵ 6(2T + 2L) + 4T + 3L = 122

∴ 12T + 12L + 4T + 3L = 122

- Add like terms in the left hand side

∴ 16T + 15L = 122 ⇒ (5)

Let us solve the system of equations to find the values of T and L

Multiply equation (4) by -5 to eliminate L

∵ (-5)(3T) + (-5)(3L) = (-5)(24)

∴ -15T - 15L = -120 ⇒ (6)

Add equations (5) and (6)

∴ T = 2

- Substitute the value of T in equation (4) to find L

∵ 3(2) + 3L = 24

∴ 6 + 3L = 24

- Subtract 6 from both sides

∴ 3L = 18

- Divide both sides by 3

∴ L = 6

Substitute the values of T and L in equation (3) to find R

∵ R = 2T + 2L ⇒ (3)

∴ R = 2(2) + 2(6)

∴ R = 4 + 12

∴ R = 16

There are 16 roses, 2 tulips, and 6 lilies in each Autumn Classic bouquet

Learn more:

You can learn more about solving the system of equations in

brainly.com/question/13168205

brainly.com/question/9045597

#LearnwithBrainly

3 0
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