Question

Sara, Emma, and Anna are buying party decorations. Sara is paying 1/2 of the total cost. Emma contributes 1/3 of the money, and Anna contributes 1/4. When they arrive at the checkout line, they realize that there is sales tax on the purchase. Luckily, they have exactly the right amount of money to pay for the decorations. ANSWER BOTH TY

Question 1
Which fraction represents the amount of tax added to the cost of the items?
Responses
A. 1/12
B. 1/4
C. 1/3
D. 1/6
Question 2
If the cost of all the items before tax is added is $24.00, how much tax is added?
Responses
A $2.40
B $2.00
C $3.00
D $.80

Answer 1

We can start by finding the combined fraction of the amount of money contributed by the three friends:

Sara pays 1/2 of the total cost, which is equivalent to 6/12.

Emma contributes 1/3 of the money, which is equivalent to 4/12.

Anna contributes 1/4 of the money, which is equivalent to 3/12.

Adding these fractions gives us:

6/12 + 4/12 + 3/12 = 13/12

This means that the total cost of the decorations plus tax is 13/12 of the original cost. Since they have exactly the right amount of money to pay for the decorations, we can infer that the tax is equal to 1/12 of the original cost. Therefore, the answer is A. 1/12.

If the cost of all the items before tax is $24.00, then we can calculate the amount of tax added by multiplying the cost by the fraction that represents the tax. From the previous question, we know that the fraction representing the tax is 1/12. Multiplying $24.00 by 1/12 gives:

$24.00 x 1/12 = $2.00

Therefore, the answer is B. $2.00.