SOLUTION: Hi, I'm having trouble with these two questions: In 4 years time a mother will be 3 times as old as her son. 4 years ago she was 5 times as old as her son. Find their present

Algebra ->  Equations -> SOLUTION: Hi, I'm having trouble with these two questions: In 4 years time a mother will be 3 times as old as her son. 4 years ago she was 5 times as old as her son. Find their present       Log On


   

Question 831737: Hi, I'm having trouble with these two questions:

In 4 years time a mother will be 3 times as old as her son. 4 years ago she was 5 times as old as her son. Find their present ages.
and

A party was organised for 30 people at which they could either have a hamburger or a pizza. If there were 5 times as many hamburgers as pizzas calculate the number of each.
Thanks :)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Hamburgers and Pizzas:

h how many hamburgers, p how many pizzas.
h%2Bp=30 and h%2Fp=5;
Multiply the ratio equation by p and get h=5p, and substitute this in the total count equation.

5p%2Bp=30
6p=30
highlight%28p=5%29 and then highlight%28h=25%29