Juliana and Maria logged a total of 90 hours working for their dad. Juliana worked 2 hours more than three times as much as Maria. How many hours did Juliana work?
Accepted Solution
A:
Answer: Juliana worked 68 hours
Explanation: Assume the hours logged by Juliana is x Assume the hours logged by Maria is y
We are given that: 1- Total hours logged by both is 90. This means that: x + y = 90Β This equation can be rewritten as: x = 90 - y ...........> equation I
2- Juliana worked 2 hours more than 3 times as much as Maria. This means that: x = 3y + 2 ...........> equation II
Substitute with equation I in equation II and solve for y as follows: x = 3y + 2 90 - y = 3y + 2 88 = 4y y = 22
Substitute with y in equation I to get x as follows: x = 90 - y x = 90 - 22 x = 68
Based on the above: Hours logged by Juliana = x = 68 hours Hours logged by Maria = y = 22 hours