Richard bought 3 pounds of bananas for $1.50. A banana weighs about 8 ounces and there are 16 ounces in a pound. At this rate, how many bananas can Richard buy for $5?

Richard can buy 20 bananas for $5

Step-by-step explanation:

∵ Richard bought 3 pounds of bananas for $1.50

∵ 1 pound = 16 ounces

∴ 3 pounds = 3 × 16 = 48 ounces

→ That means Richard bought 48 ounces for $1.50

∴ The cost 48 ounces = $1.50

∵ A banana weighs about 8 ounces

→ Let us find 48 ounces equal to how many bananas

∵ 48 ÷ 8 = 6

∴ The 48 ounces are the weighs of 6 bananas

∴ The cost of 6 bananas = $1.50

→ To find how many bananas can he buy by $5, use the ratio method

→  Cost  :  Banana

→  1.50   :  6

→  5        :   x

→ By using cross multiplication

∵ 1.50 × x = 5 × 6

∴ 1.50x = 30

→ Divide both sides by 1.50

∴ x = 20

∵ x is the number of bananas

∴ Richard can buy 20 bananas for $5

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,