A baker mixes 1 3/4 pounds of sugar for every 7/8 pound of butter to begin making frosting. The baker uses 168 pounds of butter and sugar to start the frosting. How much sugar does the baker use?

the options are:

1. 58 pounds

2. 84 pounds

3. 112

The baker uses 112 pounds of sugar

Step-by-step explanation:

The baker mixes 1 3/4 pounds of sugar for every 7/8 pounds of butter to begin frosting. The baker uses 168 pounds of butter and sugar to start the frosting .

1 3/4 = 7/4 pounds of sugar for every 7/8 pounds of butter. It can be express in ratio as

7/4 of sugar  : 7/8 of butter

The amount of sugar the baker uses can be solved using the proportion below,

amount of sugar = a

amount of butter plus sugar = 168

Therefore,

7/4 + 7/8 = (14 + 7)/8 = 21/8(total used)

7/4 ÷ 21/8 = a/168

7/4 × 8/21 = a/168

8/12 = a/168

cross multiply

12a = 1344

a = 1344/12

a = 112  pounds

The baker uses 112 pounds of sugar

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%