To determine which mixture has a greater concentration of syrup, we need to calculate the concentration for each mixture.
Calculate Syrup Concentration for Mixture A
Mixture A contains 5 L of syrup and 6 L of water.
- Total volume of Mixture A = Volume of Syrup + Volume of Water
- Total volume of Mixture A = 5 L + 6 L = 11 L
- Concentration of syrup in A = $ \frac{\text{Volume of Syrup}}{\text{Total Volume}} \times 100\% $
- Concentration of syrup in A = $ \frac{5 \text{ L}}{11 \text{ L}} \times 100\% \approx 45.45\% $
Calculate Syrup Concentration for Mixture B
Mixture B contains 3.5 L of syrup and 5.5 L of water.
- Total volume of Mixture B = Volume of Syrup + Volume of Water
- Total volume of Mixture B = 3.5 L + 5.5 L = 9 L
- Concentration of syrup in B = $ \frac{\text{Volume of Syrup}}{\text{Total Volume}} \times 100\% $
- Concentration of syrup in B = $ \frac{3.5 \text{ L}}{9 \text{ L}} \times 100\% \approx 38.89\% $
Compare Concentrations and Conclude
Comparing the concentrations:
- Mixture A concentration ≈ 45.45%
- Mixture B concentration ≈ 38.89%
Since 45.45% is greater than 38.89%, the concentration of syrup is greater in Mixture A.
Similar Questions
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- A sample of milk contains 5% of water. What quantity of pure milk should be added to 10 L of milk sample to reduce this to 2%?
- Geeta is decorating the cover of her school magazine. She is allowed to use only three colours from a group of six colours (P, Q, R, S, T and U), based on the following conditions.
I. If P, Q or R is chosen, U cannot be chosen.
II. Either T or U must be chosen.
III. S and Q cannot be chosen together.
If R is chosen, which of the following pairs of colours must also be chosen? - How much of an $80\%$ orange juice drink must be mixed with 36 litres of a $25\%$ orange juice drink to obtain a mixture that has $60\%$ orange juice?
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Important Questions from Mixture and Alligation
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
