Geoffrey is trying to earn $50 to buy a video game. He has saved $14.25. He earns $3.75 per hour cleaning windows with his uncle and he earns $6.50 per hour working at the grocery store. Can Fred buy the video game if he works with his uncle for 3 hours and at the grocery store for 4 hours? Use the inequality 3.75y + 6.50z + 14.25 ≥ 50.
Yes, because the total will be $51.50.
Yes, because the total will be $60.25.
No, because the total will be $24.50.
No, because the total will be $37.25
Let y represent the hours working with his uncle, and z represent the hours working at the grocery store. We are given that y = 3 and z = 4. We can plug these into the inequality and solve for the money earned:
3.75(3) + 6.50(4) + 14.25 ≥ 50
11.25 + 26 + 14.25 ≥ 50
51.50 ≥ 50
Since 51.50 is greater than or equal to 50, Geoffrey can buy the video game. So the answer is:
Yes, because the total will be $51.50.