A farmers has 50 jersey k as the holsteins. Together the herd gives 2250 pounds per day. How much does each type of cow give?

Question

0950 beginning algebra  i need a algebraic equation 

cattle and a 120 holtstein milk cattle. Jersey give half as much milk as the holsteins. Together the herd gives 2250 pounds per day. How much does each type of cow give?

Answer 1

Let's say that j stands for the milk that Jersey cattle gives, and h the mile that Holsteins gives.

 

There are two relationships in the description:

 

1. Jersey give half as much milk as the holsteins; translate to expression, you have: j = (1/2) * h

 

2. Together the herd gives 2250 pounds per day and 50 jersey, 120 holtsteins; translate that: 50 * j + 120 * h = 2250

 

You can then plug j = (1/2) * h in the second equation, to solve for one, and use the first equation to solve for the other.

 

The trick for coming up an algebraic equation is to pretend that you knew the numbers already and spell out what the numbers will do in math relationships. 

 

Hope it makes sense.

 

Best,

Heng