Mr. Lucido Deposited 225 Pesos In The Bank. If His Deposit Consisted Of 29 Bills, Consisting Of 5 Peso And 10 Peso Bills, How Many 10 Peso Bills Did H
Mr. Lucido deposited 225 pesos in the bank. if his deposit consisted of 29 bills, consisting of 5 peso and 10 peso bills, how many 10 peso bills did he deposit?
Answer:
y = 16 ten-peso bills
x = 13 five-peso bills
Step-by-step explanation:
Let x be the number of 5 peso bills
Let y be the number of 10 peso bills
He deposited 29 bills, hence, we got the equation:
x + y = 29 (Equation 1)
He deposited an amount of 225 pesos, hence, we got the equation:
5x + 10y = 225 (Equation 2)
You then get the value of either variables (we will use the value of x) in equation 1:
x + y = 29
x = 29 - y -----> this is the value of x
Now, you have the value of x, substitute this to equation 2:
5x + 10y = 225
5(29 - y) + 10y = 225
145 - 5y + 10y = 225
145 + 5y = 225
5y = 225 - 145
5y/5 = 80/5
y = 16 ten-peso bills
Use the value of y to get the value of x using equation 1:
x + y = 29
x + 16 = 29
x = 29 -16
x = 13 five-peso bills
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