Question

14-ounce energy drink contains 10 ½ teaspoons of sugar. How much sugar is one ounce of the drink? Must show all work, every step.

Answer 1

4/3 sugar per ounce or decimal 1.333333333333....

Explanation:

Simplify the following:

14/(10 + 1/2)

Put 10 + 1/2 over the common denominator 2. 10 + 1/2 = (2×10)/2 + 1/2:

14/((2×10)/2 + 1/2)

2×10 = 20:

14/(20/2 + 1/2)

20/2 + 1/2 = (20 + 1)/2:

14/((20 + 1)/2)

20 + 1 = 21:

14/(21/2)

Multiply the numerator of 14/(21/2) by the reciprocal of the denominator. 14/(21/2) = (14×2)/21:

(14×2)/21

The gcd of 14 and 21 is 7, so (14×2)/21 = ((7×2) 2)/(7×3) = 7/7×(2×2)/3 = (2×2)/3:

(2×2)/3

2×2 = 4:

Answer: 4/3