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Answer :
To solve the problem of determining how much oil Joshua uses to make 900 ml of salad dressing with a ratio of oil to vinegar of 7:2, follow these steps:
1. Understand the Ratio: The ratio of oil to vinegar is 7:2. This means for every 7 parts of oil, there are 2 parts of vinegar.
2. Calculate the Total Parts: Add the parts of the ratio together to find the total number of parts in the mixture:
[tex]\[ 7 + 2 = 9 \][/tex]
So, the dressing is divided into 9 equal parts.
3. Find the Amount per Part: Since there are 900 ml of dressing in total, each "part" of the ratio represents an equal portion of this total:
[tex]\[ \text{Amount per part} = \frac{900 \, \text{ml}}{9 \, \text{parts}} = 100 \, \text{ml per part} \][/tex]
4. Calculate the Oil Amount: Since there are 7 parts oil in the ratio, multiply the amount per part by the number of parts of oil:
[tex]\[ \text{Oil amount} = 7 \times 100 = 700 \, \text{ml} \][/tex]
Therefore, Joshua uses 700 ml of oil in the salad dressing.
1. Understand the Ratio: The ratio of oil to vinegar is 7:2. This means for every 7 parts of oil, there are 2 parts of vinegar.
2. Calculate the Total Parts: Add the parts of the ratio together to find the total number of parts in the mixture:
[tex]\[ 7 + 2 = 9 \][/tex]
So, the dressing is divided into 9 equal parts.
3. Find the Amount per Part: Since there are 900 ml of dressing in total, each "part" of the ratio represents an equal portion of this total:
[tex]\[ \text{Amount per part} = \frac{900 \, \text{ml}}{9 \, \text{parts}} = 100 \, \text{ml per part} \][/tex]
4. Calculate the Oil Amount: Since there are 7 parts oil in the ratio, multiply the amount per part by the number of parts of oil:
[tex]\[ \text{Oil amount} = 7 \times 100 = 700 \, \text{ml} \][/tex]
Therefore, Joshua uses 700 ml of oil in the salad dressing.
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