Question

Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt has saved $3 and can earn $4 per hour working at his family's restaurant. After how many hours of work will Samantha and Matt have earned the same amount?

Answer 1

• 6 hours

Explanation:

We know that:

• Samantha = 15 + 2x
• Matt = 3 + 4x
• Samantha = Matt
• [x = Number of hours]

Solution:

• 15 + 2x = 3 + 4x
• => 15 - 3 = -2x + 4x
• => 12 = 2x
• => x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.