Question

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.

Answer 1

yes he will be able to buy the game that is $50 because: 14.25 + 3.75y + 6.50x = 50 14.25 + 3.75(3) + 6.50(4) = 50 14.25 + 11.25 + 26 = 50 51.50 = 50

Answer 2

Answer: YES, Geoffrey can buy the video game.

Step-by-step explanation: Given that 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.

We are to find whether he can buy the video game if he works with his uncle for 3 hours and at the grocery store for 4 hours.

We will be using the following inequality :

3.75y + 6.50z + 14.25 ≥ 50.

According to the given information, we have

y = 3 and z = 4.

Therefore, we get

3.75y + 6.50z + 14.25

= 3.75 ×3 + 6.50 × 4 + 14.25

= 11.25 + 26 + 14.25

= 37.25 + 14.25

= 51.50 > 50.

Therefore, Geoffrey can buy the video game.