During her birthday, Aphrodite received 10 pieces of Php 50, Php 100, and Php 200 bills which sum up to Php 1,250. The number of Php 50 bills is equal to the number of Php 100 bills. How many Php 200 bills are there?
With algebraic expression and solution
Answers & Comments
Answer: 4
Step-by-step explanation:
Let's donate the number or Php50 bills as x,
then the number of Php 100 bills is x.
As there are 10 bills at all,
then the number of Php200 bills is 10 − x − x = 10 − 2x
In this case, we can write the equation
50x + 100x + 200(10 − 2x) = 1250
150x + 200 x 10 − 200 x 2x = 1250
150x − 400x + 2000 = 1250
−250x = 1250 − 2000
−250x = −750
x = −750/ −250
x = 3
Then, there was
3 Php50 bills
3 Php100 bills
and 10 − 3 x 2 = 4 Php200 bills
Answer: 4