# Math

posted by .

in the back stockroom at the wheel shop, the number of seats and horns equaled the number of wheels. the number of seats and handlebars equaled the number of horns. twice the number of wheels is equal to 3 times number of handlebars. Determine the relationship of horns to seat.

• Math -

number of seats --- s
number of horns --- h
number of wheels -- w
number of handlebars -- b

"number of seats and horns equaled the number of wheels" ---> s + h = w
"the number of seats and handlebars equaled the number of horns" --> s + b = h
"twice the number of wheels is equal to 3 times number of handlebars" --> 2w = 3b

we want h : s, so play around getting rid of b and w

first and last:
w = s+h, w = 3b/2
so s+h = 3b/2
2s + 2h = 3b

from 2nd:
b = h-s
in 2s + 2h = 3b
2s + 2h = 3(h-s)
2s + 2h = 3h - 3s
5s = h
then b = h-s = 5s-s = 4s
from above:
h = s+b = s+4s = 5s

so h:s = 5s : s = 5 : 1

horns : seats = 5 : 1

• Math -

I don't get it

## Similar Questions

1. ### Math

The table below shows the relationship between the number of cafeteria tables and the number of seats for students Number of tables n, 3 5 7 9 11 Number of seats s 36 60 84 108 132 3n 36s 5n 60s 7n 84s 9n 108s 11n 132s Which equation …
2. ### Math

An aircraft manufacturer determines that one of it's aircrafts has twice as many seats as another. Find the number of seats for each aircraft if the total number of seats is 336.
3. ### Discrete Mathematics

Mathematical sequences can be used to model real life applications. Suppose you want to construct a movie theater in your town. The number of seats in each row can be modeled by the formula C_n = 16 + 4n, when n refers to the nth row, …
4. ### Maths

A car showroom had 10y cars, 20y motorcycles and 18 vans. In a particular month, 4y cars , 3y motorcycles and 15 vans were sold. a.) Find the total number of wheels on the remaining vehicles in terms of x. b.) If y=21, how many wheels …
5. ### Math

At her bike factory, Eleanor manufactures two-wheel and three-wheel bikes. She has 96 seats and 212 wheels in inventory. She wants to use all the seats and wheels. How many three-wheelers should she manufacture?
6. ### algebra

One evening 1500 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost \$25 for covered pavilion seats and \$20 for lawn seats. Total receipts were \$35,000. How many of each type of tickets were sold?
7. ### college algebra

A rectangular auditorium seats 1920 people. The number of seats in each row exceeds the number of rows by 8. Find the number of seats in each row.
8. ### Algebra

A rectangular auditorium seats 1960 people. The number of seats in each row exceeds the number of rows by 9. Find the number of seats in each row. Thanks!
9. ### Science

In goblins, the number of horns hows an incomplete dominace. No horns (N) are incompletely dominant to two horns (H). Two goblins with no horns mate, what is the probability that they will have an offspring with 1 horn?

More Similar Questions