A coin pursue 5 centavo , 10 centavo and 25 centavo. The # of 10 centavo coins is three times as many as 5centavo coin and the 25 centavo is two more than the 10 centavo coin. If the total valie of its contents is 4.90 pesos, how many of each kind of coins are in the purse ?
what does "A coin pursue" even mean?
If there are x 5c coins, then if you add up the values, you have
5x + 10(3x) + 25(3x+2) = 490
x = 4
To solve this problem, let's assign variables to represent the number of each type of coin. Let's call the number of 5 centavo coins "x," the number of 10 centavo coins "3x" (since the number of 10 centavo coins is three times the number of 5 centavo coins), and the number of 25 centavo coins "3x + 2" (since the number of 25 centavo coins is two more than the number of 10 centavo coins).
Step 1: Write down the given information:
- Number of 5 centavo coins: x
- Number of 10 centavo coins: 3x
- Number of 25 centavo coins: 3x + 2
Step 2: Write down the value of each coin in terms of pesos:
- The value of each 5 centavo coin is 0.05 pesos.
- The value of each 10 centavo coin is 0.10 pesos.
- The value of each 25 centavo coin is 0.25 pesos.
Step 3: Write down the total value equation using the given information:
0.05x + 0.10(3x) + 0.25(3x + 2) = 4.90
Step 4: Solve the equation:
0.05x + 0.30x + 0.75x + 0.50 = 4.90
1.10x + 0.50 = 4.90
1.10x = 4.40
x = 4.40 / 1.10
x = 4
So, there are 4 five centavo coins, 3 times that number (12) of ten centavo coins, and 2 more than that number (14) of twenty-five centavo coins in the purse.