Lucas bought a certain weight of oats for his horse at a unit price of .20 per pound. The total cost left him with one extra dollar. He wanted to buy the same weight for enriched oats instead, but at .30 per pound he was short 2 dollars. How much money did Lucas have?

Lucas had $7

Step-by-step explanation:

Let x represent the amount of money that Lucas had initially.

Let y represent the weight of each type of oat that he bought.

Lucas bought a certain weight of oats for his horse at a unit price of .20 per pound. The total cost left him with one extra dollar. This means that

x - 0.2y = 1 - - - - - - - - - - - -- - 1

He wanted to buy the same weight for enriched oats instead, but at .30 per pound he was short 2 dollars. This means that

x - 0.3y = - 2- - - - - - - - - - - -- - 1

Subtracting equation 1 from equation 2, it becomes

0.1y = 3

y = 3/0.1

y = 30

Substituting y = 30 into equation 1, it becomes

x - 0.2 × 30 = 1

x - 6 = 1

x = 1 + 6

x = 7

312312

step-by-step explanation: