Question

the ratio of pennies to quarters in a piggy bank is 14:3. if there are 51 quarters in the bank, how many pennies are there

Answer 1

To find the number of pennies in the piggy bank, set up a proportion using the given ratio and the number of quarters. Cross-multiply and solve for x to find the number of pennies. There are 238 pennies in the piggy bank.

Step-by-step explanation:

To find the number of pennies in the piggy bank, we need to use the given ratio and information. The ratio of pennies to quarters is 14:3. This means that for every 14 pennies, there are 3 quarters. We are given that there are 51 quarters in the bank. We can set up a proportion to find the number of pennies:

1. 
   
2. 14 pennies / 3 quarters = x pennies / 51 quarters
3. 
   
4. Cross-multiply: 14 * 51 = 3 * x
5. 
   
6. Solve for x: x = (14 * 51) / 3

So, there are (14 * 51) / 3 = 238 pennies in the piggy bank.

Answer 2

The number of pennies in bank is 42

Solution:

Given that ratio of pennies to quarters in a piggy bank is 14 : 3

Let 14x be the number of pennies in piggy bank

Let 3x be the number of quarters in piggy bank

To find: number of pennies

Given that there are 51 quarters

number of pennies in piggy bank + number of quarters in piggy bank = 51

14x + 3x = 51

17x = 51

x = 3

number of pennies = 14x = 14(3) = 42

Thus the number of pennies in bank is 42