Question

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5

Answer 1

0.85x + 1.29y < 5

Explanation:

"x" represents pound of potatoes. "y" represents pound of grapes. the corresponding price for each respectively is 85 cents and $1.29. Therefore, 0.85 should be the coefficient of x and 1.29 should be the coefficient of y. This helps us come up with the first part of our inequality: 0.85x + 1.29y. The last part of our inequality, "< 5" comes from the second sentence of the word problem. "<" means less than, so our final inequality is 0.85x + 1.29y < 5. I hope this helps!