# The average bee only produces one-eighth teaspoon of honey in its lifetime. Also it takes 60,000 honey bees to produce 100 lb of honey. how much does a teaspoon of honey weigh Express the answer in ounces?

Jul 3, 2018

$\textcolor{b l u e}{\frac{16}{75} \text{ ounces}}$

#### Explanation:

Since we are asked for the answer in ounces, we convert 100lb to ounces.

There are 16 ounces in 1lb, so:

$100 \times 16 = 1600 o z$

If 60,000 bees produce $1600 \text{oz}$, then 1 bee produces:

$1 \text{bee"=1600/60000=2/75"oz}$

If one bee produces $\frac{1}{8} \text{th}$ of a teaspoon of honey, then it will take 8 bees to produce 1 teaspoon of honey. We know how much 1 bee produces in weight, so the total weight of a teaspoonful is:

$8 \times \frac{2}{75} = \frac{16}{75} \text{oz}$

A teaspoon of honey weighs $\frac{16}{75} \text{oz}$

Jul 3, 2018

$\frac{16}{75} \text{ ounces}$

There is a temptation to use decimals. Rounding off decimals is not as accurate or precise as fractions.

#### Explanation:

Known: 16 oz = 1 pound.

$\textcolor{b r o w n}{\text{Initial condition}}$

color(green)((" weight of honey")/("count of bees") color(white)("d")->color(white)("d") (100" pound")/(60000" bees"))" ".......Ratio(1)

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$\textcolor{b r o w n}{\text{Answering the question}}$

We require the weight produced by 1 bee so the count of bees in $R a t i o \left(1\right)$ needs to be reduced to 1.

("pounds")/("bees") ->(100 -:60000)/(60000-:60000) = (color(white)("d")1/600color(white)("d"))/1

Lets use a smaller unit of measurement (ounces)

1/600xx16 = 2/75" ounces "color(red)(" produced by 1 bee")

$\textcolor{red}{\text{However, 1 bee produces "1/8" of a teaspoon.}}$

Let the weight of 1 teaspoon's worth of honey be $x$

So $\frac{1}{8} \times x = \frac{2}{75}$

$x = \frac{8}{1} \times \frac{2}{75} = \frac{16}{75} \text{ ounces}$