Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Ratio and Proportion, Exercise 2: Exercise 12.1

Helena sees this recipe for pastry.

She says, "The ratio of margarine to flour is $4:1$."

Explain the mistake that Helena has made.

In a recipe, Vipul uses $45$ milliliters of vinegar and $120$ milliliters of oil. Write the ratio of vinegar to oil, in its simplest form.

Melania makes a drink by mixing orange juice with water in the ratio $2:5$. Boris makes a drink by mixing orange juice with water in the ratio $1:3$. Who has the drink with the higher proportion of the orange juice?

One year, at the Borrowdale golf club, there are $15$ women and $60$ men members. Write the ratio of $\text{women}:\text{men}$, in its simplest form.

One year, at the Avondale golf club, there are $12$ women and $56$ men members. Write the ratio of $\text{women}:\text{men}$, in its simplest form.

One year, at the Borrowdale golf club, there are $15$ women and $60$ men members. In the same year, at the Avondale golf club, there are $12$ women and $56$ men members. Which golf club has the greatest proportion of men members?

One year, at the Borrowdale golf club, there are $15$ women and $60$ men members. In the same year, at the Avondale golf club, there are $12$ women and $56$ men members. In the following year, seven women and six men join the Borrowdale golf club. Also $12$ women and $10$ men join the Avondale golf club. Which golf club now has the greatest proportion of men members?

Both Zara and Sofia are trying to answer this algebra question: Is the ratio $20x:15x$ written in its simplest form?

Zara says: "It is possible to simplify this ratio." Sofia says "I'm not sure. What would your answer be?"

Expalin whether Zara is correct or incorrect?