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choli [55]
3 years ago
6

Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spen

d a total of $62.50, how much does each small bag of popcorn cost?​
Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0

Answer:

Step-by-step explanation:

Ticket cost $8

Five friend pays = 5×$8 = $40

The ticket for 5 cost $40

Let popcorn cost x

For five friends = x × 5 = $5x

Total money spent = $62.50

40 + 5x = 62.50

5x = 62.50 - 40

5x = 22.50

x = 22.50/5

x = $4.50

Small popcorn cost $4.50 each

ohaa [14]3 years ago
4 0

Answer:

Formula: (cost of ticket + cost of popcorn) * # of friends = total cost

Which would give us (8 + x) * 5 = 62.5

Solve for x.

8 + x = 12.5 {divide each side by 5}

x = 12.5 - 8

x = 4.5

Each small bag of popcorn costs $4.50.

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swat32
<span>(x + 5 1/2) 0.75= 5/8<span>
Convert 0.75 into a fraction
</span></span><span>(x + 5 1/2) 3/4= 5/8
Use distributive property
3/4x + 5 1/2*3/4 = 5/8
Convert 5 1/2 into improper fraction
3/4x + 11/2*3/4 = 5/8
Multiply
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Subtract 33/8 from both sides
3/4x = 5/8 - 33/8
Subtract the numerators but NOT the denominators
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Divide 3/4 on both sides
x = -28/8 divided by 3/4
Convert the division sign to multiplication while flipping the fraction 3/4 to 4/3
x = -28/8 * 4/3
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