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.
1 answer:
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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