Question

Oswaldo is cooking a big dinner. He buys 30\dfrac{1}{2}30 2 1 ​ 30, start fraction, 1, divided by, 2, end fraction ounces of sweet potatoes, 13\dfrac{1}{4}13 4 1 ​ 13, start fraction, 1, divided by, 4, end fraction ounces of asparagus and 20\dfrac{1}{4}20 4 1 ​ 20, start fraction, 1, divided by, 4, end fraction ounces of squash. How many pounds of vegetables did Oswaldo buy altogether?

Answer 1

Given:

Oswaldo bought certain ounces of vegetable:

Sweet potatoes ⇒ $30\frac{1}{2}$ $ounces = \frac{61}{2} \:ounces$

Asparagus ⇒ $13\frac{1}{4} \:ounces = \frac{53}{4} \:ounces$

Squash ⇒ $20\frac{1}{4}\:ounces = \frac{81}{4} \:ounces$

To find:

Pounds of vegetables bought by Oswaldo altogether

Solution:

Total ounces of vegetables bought by Oswaldo is,

= $\frac{61}{2} \:+ \frac{53}{4} \:+\: \frac{81}{4}$

L.C.M. of the denominators 2, 4 & 4 is 4

= $\frac{122\:+\:53\:+\:81}{4}$

= $\frac{256}{4}$

= 64 ounces

Now, we know that ⇒ 1 ounce = 0.0625 pound

∴ 64 ounces = 64 × 0.0625 = 4 pounds

Thus, Oswaldo altogether bought 4 pounds of vegetables.

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