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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