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2 years ago

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Julie used her gift card for the local coffee shop to buy iced teas for herself and five friends. After she and one friend place

d their orders, the balance on Julie’s gift card was $14.85. After all six members of the group got their iced teas, she had a balance of $3.97 on her gift card. Determine the cost for one glass of iced tea.

1 answer:

valentina_108 [34]2 years ago

4 0

Answer:

One glass of iced tea cost $2.72

Step-by-step explanation:

Let,

x be the amount of gift card.

y be the amount of one glass of iced tea.

According to given statement;

Julie and her friend bought tea and remaining balance was $14.85

x - 2y = $14.85 Eqn 1

All the six members bought tea and remaining balance was $3.97

x - 6y = $3.97 Eqn 2

Subtracting Eqn 2 from Eqn 1

$(x-2y)-(x-6y)=14.85-3.97\\x-2y-x+6y=10.88\\4y=10.88$

Dividing both sides by 4

$\frac{4y}{4}=\frac{10.88}{4}\\y=2.72$

Hence,

One glass of iced tea cost $2.72

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Step-by-step explanation:

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Person $\to$ Rolls 2 dice (recorded the larger number)

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From person B list of outcomes, the proportion of 5 is:

$Pr(5) = \frac{n(5)}{n(Dice)}$

$Pr(5) = \frac{8}{30}$

$Pr(5) = 0.267$

<em>From the above calculations: </em> $0.267 > 0.03125$ <em> Hence, person B is more likely to get 5</em>

Question 11: Person with Higher median

For person A

$Median = \frac{n(Head) + 1}{2}th$

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Question 12: Probability that B gets 5 or 6

This is calculated as:

$P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}$

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$93.3\% > 50\%$

Hence, person B has a higher probability of 3 or more

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