Subjects algebra

Water Flour Ratio 5B2494

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Question: How many liters of water does Bao use per liter of flour? 3 liters How many liters of flour does Bao use per liter of water? 1 liters Graph: a line with positive slope on a coordinate grid, starting at the origin and passing through the point (3, 1); position_hint = center
1. **State the problem:** We want to find the relationship between liters of water and liters of flour used by Bao. 2. **Given information:** - Bao uses 3 liters of water per liter of flour. - Bao uses 1 liter of flour per liter of water. 3. **Expressing the relationship:** - Let $f$ be liters of flour and $w$ be liters of water. - From the first statement, $w = 3f$. - From the second statement, $f = 1w$ or $f = w$. 4. **Check consistency:** - If $w = 3f$, then $f = \frac{w}{3}$. - The second statement says $f = w$, which contradicts the first unless we interpret it as per liter of water, Bao uses 1 liter of flour, meaning $f = w$. 5. **Resolving the contradiction:** - The first statement means for each 1 liter of flour, Bao uses 3 liters of water. - The second means for each 1 liter of water, Bao uses $\frac{1}{3}$ liters of flour. 6. **Graph interpretation:** - The line passes through $(3,1)$ meaning at $w=3$, $f=1$. - Equation of the line is $w = 3f$ or equivalently $f = \frac{w}{3}$. 7. **Final answers:** - Bao uses $\boxed{3}$ liters of water per liter of flour. - Bao uses $\boxed{\frac{1}{3}}$ liters of flour per liter of water.