SOLUTION: A piggy bank contains Php 57 worth of coins in Php 1 and Php 5 denominations. The number of Php 1-coin is one more than twice the number of Php 5-coins. How many coins of each kind

Question 1150141: A piggy bank contains Php 57 worth of coins in Php 1 and Php 5 denominations. The number of Php 1-coin is one more than twice the number of Php 5-coins. How many coins of each kind does the piggy bank contain?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


Let x be the number of Php 5-coins.

Then the number of Php 1-coins is  (2x+1), according to the condition.


The total money equation is


    5x + 1*(2x+1) = 57.


Simplify and solve for x.


ANSWER.  8 Php 5-coins and (2*8+1) = 17 Php 1-coins.


CHECK.   8*5 + 17*1 = 40 + 17 = 57 Php.    ! Correct !

Solved.

RELATED QUESTIONS
A coin bank for decoration contained 1570. There were twice as many 5 php coins as 10 php (answered by Fombitz,ikleyn)

A boy sold candies and collected Php 238, part in Php 1-coins and part in php 5-coins. If (answered by josgarithmetic)

A piggy bank contains 5-centavo and 10-centavo coins amounting to PHP 30.50. If there are (answered by stanbon)

Kris saved 20 coins from her allowance consisting of 25 cents and Php 1.00 coins.The... (answered by addingup)

A jar containing at least 10 candies and chocolates whose worth must be more than Php... (answered by ikleyn,greenestamps)

Anne's purse has PhP 6.00 coins which contains 5 centavo, 10 centavo and 25 centavo. The... (answered by CubeyThePenguin)

Edna paid at least Php 1,200 for a pair of pants and a blouse. The cost of the pair of... (answered by solver91311,josgarithmetic)

Marcus saved 20 coins consisting of 25 cents and Php 1 coins. How many of each kind did... (answered by jojo14344)

A certain bond pays coupons of Php 5,000 every six months for: Given: Semi-annual... (answered by CPhill)