SAT QoD

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1

<p>The</a> Official SAT Question of the Day</p>

<p>Anyone want to explain?</p>

<p>I assumed that d is 10, but don't know how to get the answer.</p>

2

<p>The price of 10 pounds of apples is d dollars. If the apples weigh an average of 1 pound for every 6 apples, which of the following is the average price, in cents, of a dozen such apples?</p>

<hr>

<p>Okay, so 6 apples weight 1 pound. 10 pounds of apples will have 60 apples. The price of 60 apples is d dollars. The price of 60 apples is d x 100 (so we can get cents).</p>

<p>No we only want 12 apples, so we divide by five. So, 1/5 x 100d = 20d</p>

<p>That’s how I solved it. Hope it helps.</p>

3

<p>If 10 lb of apples costs d dollars, then 1 lb costs .1d dollars or 10d cents.</p>

<p>So, the price (call it “P”) of apples is 10d cents per pound. P = 10d ¢/lb. To calculate the total price you pay, you multiply it by the weight of your apples so that the units of weight cancel, and you’re left with a number and a unit of money.</p>

<p>Price of 12 apples = P * (weight of 12 apples)
Substitute:
= (10d ¢/lb) * (2 lb)
Cancel units:
= (10d ¢) * 2
Multiply:
= 20d ¢

You could do that, but you’d have to factor 10 out of your answer and replace it with d. You’d do this:</p>

<p>If 10 lb of apples costs d dollars, then 1 lb costs .1d dollars or 10d cents. 10d=10(10)=100 cents. P = 100 ¢/lb.</p>

<p>Price of 12 apples = P * (weight of 12 apples)
Substitute:
= (100 ¢/lb) * (2 lb)
Cancel units:
= (100 ¢) * 2
Multiply:
= 200 ¢
Factor:
= 20(10) ¢
Substitute:
= 20d ¢</p>