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

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

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

6 0

3 years ago

I WILLLL GIVE THE BRANLIEST HELPPP PLZZZLine the synonyms up in order from slow to slowest

GREYUIT [131]

Unhurried
Relaxed
Easy lagging
Eisurely

3 0

4 years ago

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aliyah had some candy to give her four children. she first tooke ten pieces for herself and then evenly divided the rest among h

DIA [1.3K]

Let the original number be "x".
(x-10)/4 = 2

x-10 = 8
x = 18 (original number of pieces of candy.)

6 0

4 years ago