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leva [86]
3 years ago
10

1

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

The mass of one nickel is 5 grams.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

In this question:

9 nickels have a mass of 45 grams. So one nickel will have a mass of:

9 nickels - 45 grams

1 nickel - x grams

Applying cross multiplication

9x = 45

x = \frac{45}{9} = 5

The mass of one nickel is 5 grams.

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I need help please.
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3 years ago
Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $1
olchik [2.2K]

Answer:

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140  .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160         .......2

Solving the equation 1 and 2

Or, (  8 A + 8 S ) - (  8 A + 4 S ) = 160 - 140

Or, (  8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S = \frac{20}{4}

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So,  8 A +  4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

∴  A = \frac{120}{8}

I.e A = 15

So, The number of adult's tickets = 15

Hence The Total number of adults ticket's is 15

And The Total number of Senior citizen ticket's is 5    Answer

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Answer:

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