Question
Tony is making a fruit cake.
The recipe says he needs 3 cups of sultanas for every 5 cups of flour.
If 2.5 cups of flour are used, how many cups of sultanas are needed?
Worked Solution
Strategy 1:
2.5 cups = half of 5 cups of flour.
⇒ Half of
3 cups of sultanas is required.
∴ 1.5 cups of sultanas needed.
Strategy 2:
Let n = cups of sultanas needed
|
|
| 2.5n |
= 53 |
| ∴n |
= 53×2.5 |
|
= 1.5 cups |
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
Variant 0
DifficultyLevel
583
Question
Tony is making a fruit cake.
The recipe says he needs 3 cups of sultanas for every 5 cups of flour.
If 2.5 cups of flour are used, how many cups of sultanas are needed?
Worked Solution
Strategy 1:
2.5 cups = half of 5 cups of flour.
⇒ Half of
3 cups of sultanas is required.
∴ 1.5 cups of sultanas needed.
Strategy 2:
Let n = cups of sultanas needed
|
|
| 2.5n |
= 53 |
| ∴n |
= 53×2.5 |
|
= 1.5 cups |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| correctAnswer | |
Answers