To make a certaln drink, you need to mix 200 ml of concentrate with \( 1,2 \mathrm{l} \) of water. Determine the ratio of concentrate to water. How much concentrate wil you need if you have to make up a total of 14 litres of this drink?

To solve the problem, let's break it down into two parts: determining the ratio of concentrate to water and calculating the amount of concentrate needed for a 14-liter batch. ### 1. Determining the Ratio of Concentrate to Water You are given: - **200 ml of concentrate** - **1.2 liters of water** (which is equivalent to **1200 ml**) **Ratio Calculation:** \[ \text{Concentrate} : \text{Water} = 200 \text{ ml} : 1200 \text{ ml} \] Simplify the ratio by dividing both numbers by 200: \[ \frac{200}{200} : \frac{1200}{200} = 1 : 6 \] **Thus, the ratio of concentrate to water is **1:6**.** ### 2. Calculating the Amount of Concentrate Needed for 14 Liters You need to prepare **14 liters** (which is **14,000 ml**) of the drink with the ratio **1:6** (concentrate to water). **Total Parts in the Ratio:** \[ 1 (\text{concentrate}) + 6 (\text{water}) = 7 \text{ parts} \] **Amount of Concentrate:** \[ \text{Concentrate} = \frac{1}{7} \times 14,000 \text{ ml} = 2,000 \text{ ml} = 2 \text{ liters} \] **Therefore, you need **2 liters** of concentrate to make 14 liters of the drink.** ### Summary - **Ratio of Concentrate to Water:** 1:6 - **Concentrate Needed for 14 Liters:** 2 liters