Question

Miyoko's goal is to earn more than $950 this week. She earns $250 for every day she works as a cryptographer, and earns $180 for every day she works as a geologist. How many days of each job does she need to achieve her goal?

A) 4 days as a cryptographer, 1 day as a geologist
B) 2 days as a cryptographer, 4 days as a geologist
C) 3 days as a cryptographer, 3 days as a geologist
D) 5 days as a cryptographer, 2 days as a geologist

Answer 1

Miyoko needs to work 5 days as a cryptographer and 2 days as a geologist to earn more than $950 this week.

Step-by-step explanation:

To determine the number of days Miyoko needs to work as a cryptographer and geologist to reach her goal of earning more than $950 this week, we can set up a system of equations.

1. Let x represent the number of days she works as a cryptographer.
2. Let y represent the number of days she works as a geologist.
3. We can then create the following equations:

x + y = the total number of days she works in a week

250x + 180y > 950 (since she wants to earn more than $950)

Next, we can use substitution or elimination to solve the system of equations.

By trying out the given options, we find that option D) 5 days as a cryptographer and 2 days as a geologist satisfies both equations and would allow Miyoko to achieve her goal.