Question

Suppose Emma spends 3 minutes more than twice the amount of time that Isabella spends on homework each day. Isabella spends 6 minutes less than Daniel does on homework. If they do homework for a total of 41 minutes all together, how much time does Emma spend on homework each day?

Answer 1

We let x = Emma's time working alone
            y = Isabella's time working alone
            z = Daniel's time working alone

x = 3 + 2y
y = z - 6

x + y + z = 41
3 + 2y + y + y + 6 = 41
4y = 32

y = 8 minutes
x = 19 minutes
z = 2 minutes