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iren [92.7K]
3 years ago
15

Store A sells 12 juice bottles for $4 and store B sells 18 juice bottle for $6. Are the rates equivalent? explain your reasoning

.
Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Answer:

Yes!

The rate can be expressed by the ratio 3:1

For every 3 bottles, its $1

For every 6 bottles, its $2

For every 12 bottles its $4

and for every 18 bottles its $6

The juice's are equivalent because the ratio of number to bottles to dollars is equal.

Step-by-step explanation:

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A certain number line uses 20 spaces between consecutive integers.
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Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1
makkiz [27]

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

<h3>Variables</h3>

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>

As the total tickets sold for the game is $320. Thus,

\begin{aligned}\\&#10;x+y&=320\\&#10;y&=320-x\\&#10;\end                    .......1

Now as the total money with ticket selling is $1100. Thus,

2.5x+4y=110

Keep the value of u from the equation 1 in the above equation. We get,

\begin{aligned}&#10;2.5x+4(320-x)&=1100\\&#10;2.5x+1280-4x&=1100\\&#10;-1.5x&=1100-1280\\&#10;-1.5x&=-180\\&#10;x&=\dfrac{180}{1.5} \\&#10;x&=120\\&#10;\end

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

y=320-x\\&#10;y=320-120\\&#10;y=200

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

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