Final answer:
To find the number of cups of flour Brutus needs if he has 12 cups of sugar, set up a proportion using the given ratio of 4 cups of sugar to 5 cups of flour. Cross-multiply and solve the equation to find that Brutus will need 15 cups of flour.
Step-by-step explanation:
To figure out how many cups of flour Brutus will need if he has 12 cups of sugar, we can set up a proportion using the given ratio. The ratio is 4 cups of sugar to 5 cups of flour. So, we can write the proportion as 4 cups / 5 cups = 12 cups / x cups. To solve for x, we can cross-multiply and solve the equation.
4 cups * x cups = 5 cups * 12 cups
x cups = (5 cups * 12 cups) / 4 cups
x cups = 15 cups
Therefore, Brutus will need 15 cups of flour if he has 12 cups of sugar.