Tony is baking cakes and loaves of bread for a family reunion. His cake recipe uses 5 cups of flour for each cake, and his bread recipe uses 6 cups of flour for each loaf. He has 90 cups of flour on hand.

Question

Let c represent the number of cakes and b represent the number of loaves of bread that Tony bakes.

Create the inequality that symbolizes this situation, and then answer the question below.

c +
b ≤

Can Tony bake 8 cakes and 9 loaves of bread without buying more flour?

Answer 1

The inequality that represents this situation is: 5c + 6b ≤ 90

To determine if Tony can bake 8 cakes and 9 loaves of bread without buying more flour, we substitute c = 8 and b = 9 into the inequality:

5(8) + 6(9) ≤ 90

40 + 54 ≤ 90

94 ≤ 90

Since 94 is greater than 90, Tony cannot bake 8 cakes and 9 loaves of bread without buying more flour.