SOLUTION: A boy purchased some chocolates from a shop for Tk. 120. If the price of chocolate was reduced by 20%, he could have purchased 2 more chocolates. How many chocolates did he buy? A

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A boy purchased some chocolates from a shop for Tk. 120. If the price of chocolate was reduced by 20%, he could have purchased 2 more chocolates. How many chocolates did he buy? A      Log On


   



Question 824604: A boy purchased some chocolates from a shop for Tk. 120. If the price of chocolate was reduced by 20%, he could have purchased 2 more chocolates. How many chocolates did he buy?
A.10 B.8 C.12 D.14

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
---
x = number of chocolates
y = price per item
---
xy = 120
(x + 2)(0.80y) = 120
---
xy = 120
0.80xy + 1.6y = 120
0.80(120) + 1.6y = 120
1.6y = 120 - 0.80(120)
y = 0.20*(120)/1.6
y = 15
---
answer:
x = number of chocolates = 120/15 = 8
y = price per item = 15 Tk.
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php