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Anestetic [448]

3 years ago

7

At a store hotdogs come in packages of 8 and hot dog buns come in packages of 12 what is the least number of packages of each ty

pe that you can buy and have no hot dogs or buns leftover

1 answer:

erica [24]3 years ago

5 0

2 packs of buns and 3 packs of hotdogs

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andreyandreev [35.5K]

$\huge\text{$m\angle O=\boxed{11^{\circ}}$}$

Since we know that all angles in a triangle add up to $180^{\circ}$ , we can solve for $x$ and substitute it back into $(x-5)^{\circ}$ to find $m\angle O$ .

$\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}$

Remove the parentheses and combine like terms.

$\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}$

Add $12$ to both sides of the equation.

$\begin{aligned}12x-12&=180\\12x&=192\end{aligned}$

Divide both sides of the equation by $12$ .

$\begin{aligned}x=16\end{aligned}$

Now that we have the value of $x$ , we can substitute it back into $(x-5)^{\circ}$ to find $m\angle O$ .

$\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}$

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3 years ago