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Marrrta [24]
3 years ago
5

Vincent and 2 of his friends go to tge movies. A ticket costs $7.75. They decided to split the cost of the popcorn. If they eacg

spent $10.25, how much did the popcorn cost
Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

Answer:

$7.50

Step-by-step explanation:

In this scenario, we know that they all spent the same amount on the ticket, and the same overall amount. Therefore we first subtract the total from the ticket amount to know how much each of them spent on popcorn (assuming they didn't make any more purchases).

10.25 - 7.75 = 2.50

So we can see that each member spent $2.50 on popcorn. Since there are three of them (Vicent and 2 friends) we simply multiply this number by 3 to find the total amount of the popcorn.

2.50 * 3 = 7.50

Finally, we can see that the Popcorn was worth $7.50

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if the value of x varies directly as the value of y , and x = 16 when y = 3/4 , what is the value of x when y = 3/8 ?
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Step-by-step explanation:

If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.

If x=16 when y=3/4 we can write their relation as:

x/y = 16/(3/4) = 16*(4/3) = 64/3

So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.

Now we can see what happens to x when y varies. If y=3/8:

x/(3/8) = 64/3

Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.

x/(3/8) * (3/8) = (64/3) * (3/8)

See that we have a 3 multiplying and another dividing, we can eliminate them.

x = 64/8

x = 8

So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.

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