Posted by **darnell darling** on Thursday, October 28, 2010 at 11:30am.

the ratio of horseshoes to shamrock was 11 to 2, and five times the number of shamrocks was 3 less than the number of horseshoes. how many were shamrocks?

- math -
**jai**, Thursday, October 28, 2010 at 11:36am
first, represent the unknowns with variables:

let x = number of shamrocks

let y = number of horseshoes

then set up equations according to the conditions given:

(1) y/x = 11/2

(2) 5x = y - 3

there are several ways to solve this,, if we choose to solve it by substitution method,,

choose an equation (in this case, equation (1)), then express one of the variables in terms of the other variable,, thus if we express y in terms of x:

y/x = 11/2

y = (11x)/2

now, you substitute this to equation (2):

5x = y - 3

5x = (11x)/2 - 3

then solve for x to get number of shamrocks.

hope this helps~ :)

## Answer this Question

## Related Questions

- Math ratio word problem - The ratio of horseshoes to shamrocks was 11 to 5, and ...
- Math - Five added to 4 times a number is equal to 9 less than 2 times the number...
- Math 8R: Homework Check - Part 4 - Part 4: Translate and solve: 25. 6 less than ...
- math - five times an unknown number decreased by the same unknown number is less...
- math - 1. The sum of the ages of Ed and his father is 59 years. If his father's ...
- math - write the verbal sentence as an equation.then solve the equation Three ...
- math - Please check 6 more than a number n 6(n)+9 A number m multiplied by 7 7xm...
- math - translate and solve please. five times two less than a number equals ...
- MS. SUE - MATH HELP PLEASE - The sum of five times a number and twice a second ...
- Math - You roll a number cube and get a one 7 times, a two 8 times, a three 5 ...