Question

Devin is a landscaper who needs to prepare different types of grass seed for his customers' yards. Bluegrass seed costs $2.00 per pound while drought-resistant seed costs $3.00 per pound. If for a particular day the two types of grass seed totaled $68.00 and together weighed 25 pounds, how many pounds of bluegrass seed did Devin prepare?

Answer 1

7 pounds

Step-by-step explanation:

To solve this we need to use simultaneous algebraic equations.

Assume

x = 1 pound of bluegrass seed

y = 1 pound of drought resistant seed

Our first equation considers the number of pounds

x + y = 25

y = 25 - x

For the combined bluegrass seeds and thought resistant seeds bought

For the second equation we consider the price

2x + 3y = 68

Substitute value of y in equation 2

2x + 3(25 - x) = 68

2x + 75 - 3x = 68

x= 7

So the amount of bluegrass seed is 7

We can also get the amount of drought resistant seed from equation

7 + y = 25

y = 18