Question

A vendor at a formers market is selling honey. He has 1,450 jars in total of alfalfa, blueberry, and clover honey. He has 130 more jars of alfalfa honey than blueberry honey. He has twice as many jars of clover honey as alfalfa honey. How many jars of alfalfa honey does he have?

Answer 1

Step-by-step explanation:

x = jars of alfalfa

y = jars of blueberry

z = jars of cover

x + y + z = 1450

x = y + 130

z = 2x

the easiest is now to turn the main equation into an expression of one variable (I am going for x).

for this let's transform the second equation

x = y × 130

y = x - 130

so now we have expressed y and z as terms of x.

back to the main equation :

x + x - 130 + 2x = 1450

4x = 1580

x = 395

he has 395 jars of alfalfa honey.