the price of Adults Ticket = $15
and the price of Child's Ticket = $10
Step-by-step explanation:
Let adults be x and children be y
then Three adults and four children must pay $85 can be written as:
![3x+4y= 85\,\,\,\,\,(1)](https://tex.z-dn.net/?f=3x%2B4y%3D%2085%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%281%29)
and Two adults and three children must pay $60 can be written as:
![2x+3y=60\,\,\,\,(2)](https://tex.z-dn.net/?f=2x%2B3y%3D60%5C%2C%5C%2C%5C%2C%5C%2C%282%29)
Solving equations 1 and 2 to find the value of x and y.
Multiplying eq(1) by 2 and eq(2) by 3
![6x+8y =170\\6x+9y=180\\-\,\,\,-\,\,\,\,\,\,\,\,\,-\\-------\\-y=-10\\y=10](https://tex.z-dn.net/?f=6x%2B8y%20%3D170%5C%5C6x%2B9y%3D180%5C%5C-%5C%2C%5C%2C%5C%2C-%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C-%5C%5C-------%5C%5C-y%3D-10%5C%5Cy%3D10)
Putting value of y=10 in eq(1)
![3x+4(10)=85\\3x+40=85\\3x=85-40\\3x=45\\x=15](https://tex.z-dn.net/?f=3x%2B4%2810%29%3D85%5C%5C3x%2B40%3D85%5C%5C3x%3D85-40%5C%5C3x%3D45%5C%5Cx%3D15)
So, the price of Adults Ticket = $15
and the price of Child's Ticket = $10
Keywords: Word Problems of algebraic expressions
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If the arithmetic sequence is linear then yes, you can find the sequence with the common difference.
For example, if the common difference is add one now and you know that the fifth term is the number six, then you would know that the sequence is two, three, four, five, six.
to work out the sequence going backwards from the fifth term, you just need to subtract the amount that was previously added. For example, if the sequence adds three every time you go to the next term, then when figuring out the previous term just subtract three from the current term. So to figure out the fourth term, subtract three from the fifth term.
Since an integer is a whole number, the numbers closer to 0 on the number line are -2 and -1, so there are 2 options.
The answer is 2 choices, in short.
(D) 408.04 is the correct answer. If you divide 2,727 miles by 27 miles per gallon you will get the number of gallons: = 101. Then, multiply the number of gallons by the cost per gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical miles. Hope this helps!
Answer:
x=43
Step-by-step explanation:
A triangle contains 180
So
82+55+x=180
=>137+x=180
=>x=180-137
Therefore, x=43 (you can use therefore sign instead of therefore)