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aleksklad [387]
3 years ago
5

Nellie and her younger sister Debbie share expenses on a holiday. Nellie spends $122 more than Debbie. Their total expenses amou

nt to $840.
A) Write a pair of linear equations to represent the information given above.

B)Explain how you can change this pair of equations to a linear equation in one unknown.

C)Apply your method to find how much Debbie spends on the holiday. Show your work.
Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

Let N = how much Nellie spends

Let D = how much Debbie spends

Part A

Nellie spends $122 more than Debbie.

N= D +122

Their total expenses amount to $840.

N+D =840

The two equations are

N= D +122

N+D =840

Part B

We can substitute the first equation which is solved for N into the second equation.  Every place we see an N in the second equation, we replace it with D+122

Part C

N= D +122

N+D =840

(D+122) +D = 840

Combine like terms

2D +122 = 840

Subtract 122 from each side

2D+122-122=840-122

2D =718

Divide by 2

2D/2= 718/2

D =359

Debbie spends 359

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The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

Step-by-step explanation:

The given is,

                     A single deposit amount - $ 2700

                                                       APR - 4.5%

                                            ( Compounded monthly )

                                                    Period - 7 years

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                Where, A - Future amount

                             P - Initial deposit

                              r - Interest rate

                             n - Number of compounding in a year

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                         P = $ 2700

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                           t = 7 years

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