Chapter 5.4, Problem 36E

a.

To determine

To write a fraction comparing the number of cookies which is baked with the number of cookies the recipe made.

Answer to Problem 36E

The fraction of number of cookies to bake with the number of cookies the recipe makes is $\frac{3}{2}$ .

Explanation of Solution

Given information :

The recipe shown makes 60 cookies. Number of cake which is desired to bake is 90 cookies.

Calculation :

Since, recipe shown makes 60 sugar cookies and cookies to bake is 90.

Therefore, the fraction is

  $\frac{90}{60}=\frac{3}{2}$ .

Hence,

The fraction of number of cookies to bake with the number of cookies the recipe makes is $\frac{3}{2}$ .

b.

To determine

To find : the quantity of each ingredient which is required to make 90 cookies.

Answer to Problem 36E

The quantity of each ingredient which is required to make 90 cookiesis:

  $\begin{array}{l}\text{Flours}=3\frac{3}{4}\text{ cups},\text{ Salts}=\frac{3}{4}\text{ tsp, }\\ \text{White sugar}=1\frac{1}{8}\text{ cups, Vanilla}=1\frac{1}{2}\text{ tsp, }\\ \text{Baking soda}=1\frac{1}{2}\text{ tsp, Eggs}=3\end{array}$

Explanation of Solution

Given information :

The fraction of number of cookies to bake with the number of cookies the recipe makes is $\frac{3}{2}$ .

Calculation :

The ingredients needed to makes 90 cookies is calculated by multiplying the ingredients required to make 60 cookies with the fraction obtained in part (a).

Therefore, the amount of each ingredients needed are:

  $\begin{array}{l}\text{Flours}=2\frac{1}{2}\cdot \frac{3}{2}\\ \text{Flours}=\frac{5}{2}\cdot \frac{3}{2}\\ \text{Flours}=\frac{15}{4}\\ \text{Flours}=3\frac{3}{4}\text{ cups,}\end{array}$

For, salts

  $\begin{array}{l}\text{Salts}=\frac{1}{2}\cdot \frac{3}{2}\\ \text{Salts}=\frac{3}{4}\text{ tsp,}\end{array}$

For white sugar,

  $\begin{array}{l}\text{White sugar}=\frac{3}{4}\cdot \frac{3}{2}\\ \text{White sugar}=\frac{9}{8}\\ \text{White sugar}=1\frac{1}{8}\text{ cups,}\end{array}$

For, Vanilla,

  $\begin{array}{l}\text{Vanilla}=1\cdot \frac{3}{2}\\ \text{Vanilla}=1\frac{1}{2}\text{ tsp,}\end{array}$

For, Baking soda,

  $\begin{array}{l}\text{Baking soda}=1\cdot \frac{3}{2}\\ \text{Baking soda}=1\frac{1}{2}\text{ tsp,}\end{array}$

For butter,

  $\begin{array}{l}\text{Butter}=1\cdot \frac{3}{2}\\ \text{Butter}=1\frac{1}{2}\text{ cups,}\end{array}$

For, Brow sugar,

  $\begin{array}{l}\text{Brown sugar}=\frac{3}{4}\cdot \frac{3}{2}\\ \text{Brown sugar}=\frac{9}{8}\\ \text{Brown sugar}=1\frac{1}{8}\text{ cups and }\end{array}$

For, Eggs,

  $\begin{array}{l}\text{Eggs}=2\cdot \frac{3}{2}\\ \text{Eggs}=3\end{array}$

Hence,

The quantity of each ingredient which is required to make 90 cookiesis:

  $\begin{array}{l}\text{Flours}=3\frac{3}{4}\text{ cups},\text{ Salts}=\frac{3}{4}\text{ tsp, }\\ \text{White sugar}=1\frac{1}{8}\text{ cups, Vanilla}=1\frac{1}{2}\text{ tsp, }\\ \text{Baking soda}=1\frac{1}{2}\text{ tsp, Eggs}=3\end{array}$