Question

Alex found a new black bean soup recipe that calls for tomatoes and black beans. If tomatoes cost $1.60 per pound and black beans cost $1.70 per
pound and the recipe calls for 3 times as many pounds of black beans as tomatoes, at most how many pounds of tomatoes can he buy if he only
has $26.80?

Answer 1

Alex can buy at most 4 pounds of tomatoes

Let:

a represent pounds of tomatoes to buy

3a represent pounds of black beans to buy

Total cost of each ingredient that can be bought = number of pounds x price per pound

Tomatoes = a x $1.60 = 1.60a

Black beans = 3a x $1.70 = 5.1a

1.60a + 5.1a = 26.80

Add similar terms

6.7a = 26.80

Divide both sides of the equation by 6.7

a = 4 pounds

A similar question was solved here: brainly.com/question/848628?referrer=searchResults