Problema Solution

Jim solved a certain number of problems. Brenda solved 2 more than twice as many. Together they solved 38. How many problems did Brenda solve?

Answer provided by our tutors

let


x = the number of problems that Jim solved

y = the number of problems that Brenda solved


Brenda solved 2 more than twice as many


y = 2 + 2x


together they solved 38


x + y = 38


by solving the system of equations


y = 2 + 2x

x + y = 38


we find


x = 12


y = 26


Brenda solved 26 problems.