Question

Emily practices piano for 2/3 of an hour on Monday and 1/2 hour on Wednesdays. How many hours does Emily spend practicing piano in one week?​

Answer 1

50 minutes

Explanation:

Given:

`\bullet \ \ \text{Monday:} \ (2)/(3) * \text{Hour}\\\\\bullet \ \text{Wednesday:} \ (1)/(2) * \text{Hour}`

Since Emily only practiced on Monday and Wednesday, the sum of time on both days is the time Emily practiced on the piano for a week.

`\implies \text{Monday + Wednesday = Total time practiced on piano for a week}`

Substitute the times in the equation

`\implies ((2)/(3) * \text{Hour}) + ((1)/(2) * \text{Hour}) = \text{Total time practiced on piano for a week}`

Simplify the equation

`\implies ((2)/(3) * 60 \ \text{minutes}) + ((1)/(2) * 60 \ \text{minutes}) = \text{Total time practiced on piano for a week}`

`\implies (20 \ \text{minutes}) + (30 \ \text{minutes}) = \text{Total time practiced on piano for a week}`

`\implies \boxed{50 \ \text{minutes} = \text{Total time practiced on piano for a week}}`