EXERCISE 3 Directions: Solve the following problem. Show your solutions in your activity notebook or answer sheet. Emman needs Php 2,520 for his Baguio tour. He saves Php 50 on his baon on the first week and asks for an additional Php 20 from his tatay on the succeeding weeks. How many weeks does he need to request an additional to reach such amount? PA HELP PO
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Answer:
Given : Required 2520 . Saves 50 on 1st week and increase by 20 Each week
To Find : Number of weeks
Solution:
a = 50
d = 20
n = ?
Sₙ = 2520
Sₙ = (n/2)(2a + (n-1)d)
=> (n/2)(2*50 + (n-1)(20)) = 2520
=> n ( 100 + 20n - 20) = 5040
=> n(20n + 80) = 5040
=> n(n + 4) 20 = 5040
=> n(n + 4) = 252
=> n² + 4n - 252 = 0
=> n² + 18n -14n - 252 = 0
=> n(n +18) - 14(n + 18) = 0
=> (n - 14)(n + 18) = 0
=> n = 14
Step-by-step explanation: