Question

tomas bought a bottle of shampoo that held 10.5 fluid ounces. he uses 1/16 of the shampoo every time he washes his hair. how many ounces of the shampoo are left after he washes his hair 6 times please help because I'm confused with this question and explain clearly too please

Answer 1

1) 10.5 = 10 1/2 = 21/2 ounces in bottle

2) 21/2 * 1/16 = 21/32 ounces one use

3) 21/32 * 6 = 63/16 ounces six use

4) 21/2 - 63/16 = 168/16 - 63/16 = 105/16 = 6 9/16 ounces left

Answer 2

Answer

$6\frac{9}{16}$ fluid ounces

Explanation

First, we are going to find the total amount of shampoo he used. We know from a our problem that he uses $\frac{1}{16}$ of the shampoo every time he washes his hair and he washed his hair 6 times, so we just need to multiply the number of times (6) by the amount used every time ($\frac{1}{16}$) to find how much shampoo he used:

$6*\frac{1}{16} =\frac{6}{16} =\frac{3}{8}$

We know that he used $\frac{3}{8}$ of the bottle of shampoo. Since the bottle of shampoo held 10.5 fluid ounces, we are going to multiply 10.5 fluid ounces by $\frac{3}{8}$ to find how much fluid ounces he used:

$10.5f.oz*\frac{3}{8} =3.9375f.oz$

Now, to find the ounces of shampoo left, we just need to subtract the ounces used (3.9375 fluid ounces) by the initial fluid ounces in the bottle of shampoo (10.5 fluid ounces):

$10.5f.oz-3.9375f.oz=6.5625f.oz$ or expressed as a mixed fraction: $6\frac{9}{16} f.oz$

We can conclude that there are $6\frac{9}{16}$ fluid ounces of shampoo left after Tomas washed his hair 6 times.