The garden view hotel is 235 feet tall
Step-by-step explanation:
The given is:
- The garden view hotel is seventeen less than twice the height of the plaza hotel
- Their combined height is 361 feet
We need to find the height of the garden view hotel
Assume that the height of garden view hotel is x feet and the height of the plaza hotel is y feet
∵ The height of the garden view hotel = x feet
∵ The height of the plaza hotel = y feet
∵ The height of the garden view hotel is 17 less than twice the
height of the plaza hotel
- That means x is less than 2 × y by 17, equate x by the difference
of 2 × y and 17
∴ x = 2y - 17 ⇒ (1)
∵ Their combined height = 361 feet
∴ x + y = 361
- Find y in terms of x by subtraction x from both sides
∴ y = 361 - x ⇒ (2)
Substitute y in equation (1) by equation (2)
∵ x = 2(361 - x) - 17
- Simplify the right hand side
∴ x = 722 - 2x - 17
- Add like terms
∴ x = 705 - 2x
- Add 2x to both sides
∴ 3x = 705
- Divide both sides by 3
∴ x = 235
The garden view hotel is 235 feet tall
Learn more:
You can learn more about the word problems in brainly.com/question/13174281
#LearnwithBrainly
Answer:
turning it I think.........
Answer:
hey. pls complete your question
Answer:
All the answers that has the dilation of 3, except the last one.
Answer:
Adult tickets = 84
Children tickets = 33
Step-by-step explanation:
At a play 117 tickets were sold.
Adult's tickets (a) cost $2.50 each and,
Children's (c) tickets cost $1.00 each
Money collected = $243
This is the simultaneous equation formed:
a + c = 117 ... (i)
2.5a + c = 243 ... (ii)
Subtracting (ii) - (i) we get;
1.5a = 126
a = 126 ÷ 1.5 = 84
So there were 84 adult's tickets sold and 117 - 84 = 33 children's tickets sold.
