the sum of Marys age and her moms age is 67.  Three times Marys age increased by 7 is her moms age.  How old is Mary and her mother

Answers

Answer 1
Answer: Sove the system:

x: Mary´s age
y: Mom´s age:

x + y = 67
3x + 7 = y

Replace y in the first equation:

x + 3x + 7 = 67
4x = 67 - 7
4x = 60
x = 15 yrs.

y = 67  - 15 = 52 yrs
Answer 2
Answer: Labels:
-- Mary's age = D (for 'daughter')
-- Mom's age = M (for 'mom')

The problem says 2 things:

         D + M = 67
and
       3D + 7 = M .

Let's subtract 'M' from each side of the first one:  D = 67 - M

Now we can plug that into the second one, in place of 'D'.
 
       3D          + 7 = M

       3(67 - M) + 7 = M .

Clear the parentheses on the left side.  I assume you know how to do that.

       201 - 3M + 7 = M

Add 3m to each side:

       201        + 7 = 4M

       208              = 4M

Divide each side by 4 :

       52 = Mom's age

Daughter's age = 67 - Mom's age = 67 - 52 = 15


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Answers

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What is the first step in changing a percent to the equivalent fraction?

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Fandango has movie tickets on sale for 1\2 price. You buy 2 $12 tickets and you must pay 6% sales tax. What is your total cost after discount and taxes?​

Answers

Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Final answer:

The total cost after the discount and taxes would be $13.44.

Explanation:

To find the total cost after the discount and taxes, we first need to determine the discount amount.

Since the tickets are on sale for 1/2 price, the discount would be half of the original cost of the tickets.

So the discount amount would be 1/2 * $12 * 2 = $12.

Next, we need to calculate the sales tax, which is 6% of the original cost of the tickets.

The sales tax would be 0.06 * $12 * 2 = $1.44.

Finally, we can calculate the total cost by adding the original cost of the tickets, the sales tax, and subtracting the discount amount.

The total cost would be $12 * 2 + $1.44 - $12 = $13.44.

Learn more about Total cost after discount and taxes here:

brainly.com/question/2602938

#SPJ12

Cho and Jeff each bought a used bike. Jeff's bike was not on sale and cost the same amount as theoriginal price of Cho's bike. Cho's bike was on sale for $20 less than the original price, and her total
cost was half of what Jeff paid. How much money did Jeff pay for his bike?
A. $30
B. $10
C. $20
D. $40

Answers

The right answer for the question that is being asked and shown above is that: "A. $30." Cho's bike was on sale for $20 less than the original price, and her total cost was half of what Jeff paid. Jeff pay A. $30 for his bike

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Cho = x-20


Seven hundred thirty-one and six thousand two hundred sixty-four ten-thousandths in numbers

Answers

It is 731.6264  :)  ;)  <3