Question

Edward has twice as many pennies as his brother. If Edward saved 50 additional pennies and his brother gave away 10, then Edward would have four times as many pennies as his brother. How many more pennies does Edward have than his brother?

Answer 1

Edward has 160 more pennies than his brother

Step-by-step explanation:

To solve this problem, let's start by representing the number of pennies Edward has as 'E' and the number of pennies his brother has as 'B'. We are given the following information:

• Edward has twice as many pennies as his brother: E = 2B
• If Edward saved 50 additional pennies and his brother gave away 10, then Edward would have four times as many pennies as his brother: (E + 50) = 4(B - 10)

We can solve this system of equations to find the values of E and B. First, substitute E = 2B into the second equation: (2B + 50) = 4(B - 10). Simplify and solve for B, then substitute that value back into the equation E = 2B to find E. The difference between E and B gives us the number of additional pennies Edward has compared to his brother.

By solving the equations, we find that Edward has 160 more pennies than his brother.