Question

A boy has a cupcake stand to earn money in his piggy bank. He only has pennies and nickels and he wants to know how many pennies and nickels he has in his piggy bank. He has 3.00 dollars in total, and 140 coins in total. How many of each coin does he have in his piggy bank?

Answer 1

Given:

A boy has a cupcake stand to earn money in his piggy bank. He only has pennies and nickels and he wants to know how many pennies and nickels he has in his piggy bank. He has 3.00 dollars in total, and 140 coins in total

Required:

We need to find the number of each coin

Step-by-step explanation:

Take number pennies as x and number of nickels as y

so

`x+5y=300`

because total ammount is $3

and total number of coin is 140

so

`x+y=140`

solving both equation

`\begin{gathered} x+5y-x-y=300-140 \\ 4y=160 \\ y=40 \end{gathered}`

now put the value of y in any of the equation

`\begin{gathered} x+40=140 \\ x=100 \end{gathered}`

Final answer:

Total number of pennies in 100

Total number of nickels is 40