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

For this item, we let x be the number of minutes that Isabella spent for her homework. With this representation, the expression for the number of minutes that Emma spent will be equal to 2x+3. Daniel, on the other hand, spent x - 6 minutes. The equation which best illustrates the scenario is,
                         x + (2x + 3) + (x - 6)= 41
The value of x from the equation is 11. Thus, Emma spent,
                               2(11) + 3 = 25 minutes