Answer:
(c, d) = (25, 35)
Step-by-step explanation:
Multiply the first equation by 2.5 and subtract the second one:
2.5(c +d) -(2.5c +1.75d) = 2.5(60) -(123.75)
0.75d = 26.25 . . . . . . . . . simplify
26.25/0.75 = d = 35 . . . . divide by the coefficient of d
60 -d = c = 25 . . . . . . . . . use the first equation to find c
(c, d) = (25, 35)
11 weeks are required for Riley to work to save enough money to buy the new television
<h3><u>Solution:</u></h3>Given that Riley needs a total of $1,049.77
Riley has saved $200.79 already and earns $77.18 per week at her job
To find: Number of weeks Riley need to work to save enough money to buy the new television
Remaining amount needed = $1,049.77 - $200.79
Remaining amount needed = $ 848.98
Let "n" be the number of weeks Riley need to work to save enough money to buy the new television
Also she earns $77.18 per week at her job
1 week ⇒ $ 77.18
"n" weeks ⇒ $ 848.98
Therefore, by cross multiplication,
Therefore 11 weeks are required for her to work to save enough money to buy the new television
<h3><u>Method 2:</u></h3><em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>
1,049.77 = 200.79 + (77.18)(n)
1049.77 - 200.79 = 77.18n
848.98 = 77.18n
n = 11
Therefore 11 weeks are required for her to work to save enough money to buy the new television