Question

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

Answer 1

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