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zysi [14]
3 years ago
14

Yesterday, a movie theater sold 299 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, t

he movie theater made $662 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.
Mathematics
2 answers:
dem82 [27]3 years ago
6 0

Answer:

Step-by-step explanation:

They sold 201 small bags

and they sold 83 large bags

hope this helps :)

morpeh [17]3 years ago
3 0

Answer:

l + s = 299

4l + s = $662

121 large bags were sold.

178 small bags were sold.

Step-by-step explanation:

Quantity equation: l + s = 299. l is the amount of large bags and s is the amount of small.

Price equation: 4l + s = $662. This means each large bag earns 4 dollars and each small bag earns 1.

To solve this, you use the method elimination and subtract (l + s = 299) from 4l + s = 662.

So, after subtracting, the equation you are left with is 3l = 363. Divide both sides by 3 and you get l = 121. 121 large bags were sold.

Plug in 121 for l in the first equation, now it says 121 + s = 299. Subtract 121 from 299 and get 178. 178 small bags were sold.

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Answer:

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

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Step-by-step explanation:

When the standard deviations are not the same then the confidence intervals for mean differences are calculated as

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υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

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(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27)  +2.11√5.6²/10+4.3²/14

6- 2.11*2.111 < u1-u2 <  ( 6 )  +2.11*2.111

6- 4.4521 < u1-u2 <  ( 6 )  +5.294

- 1.5479 < u1-u2 <  10.4521

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d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

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