Calculate the unit rate Frosted Flakes 14 oz for $1.80

Mathematics

1 answer:

Vanyuwa [196]3 years ago

8 0

Answer:

The unit rate is 13 cents per ounce.

Step-by-step explanation:

Given that:

Weight of Frosted Flakes = 14 oz

Cost of Frosted Flakes = $1.80

Unit rate = Cost / Weight

Unit rate = 1.80 / 14

Unit rate = $0.13 per ounce

Or the rate can also be written in terms of cents.

Unit rate = 13 cents per ounce

Hence,

The unit rate is 13 cents per ounce.

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$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

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Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$