ACT (Enhanced)MathematicsEasy
A baker is preparing a large batch of cookies. The recipe calls for 2.5 cups of flour for every 1.5 cups of sugar. If the baker uses 7.5 cups of flour, how many cups of sugar are needed?
- A5.0 cups
- B4.5 cups
- C6.5 cups
- D3.5 cups
Show answer & explanationAnswer & explanation
Correct answer: B. 4.5 cups
This problem requires setting up a proportion to find the unknown amount of sugar. By cross-multiplication, the amount of sugar can be calculated.
Why the other options are wrong
- A. This option is a result of a common arithmetic mistake.
- C. This option indicates a significant miscalculation of the proportion.
- D. This option results from an incorrect ratio or calculation error.
Proportional Reasoning
The ability to understand and use ratios to solve problems where quantities are related by a constant factor.
- Ratios compare two quantities.
- Proportions state that two ratios are equal.
- Cross-multiplication is a common method to solve proportions.
Memory trick: Ratio's balance, cross-multiply to advance.