Question

Fruit Co. sells bananas for 0.60$apound,Bobcharges$ $0.29$ per banana, Pinnacle charges 1.50$foratwo-poundbananabunch,andBrea{d}^{\prime }soffersaspecial:buyingthreepoundsofbananasat$ $0.65$ per pound gets you a fourth pound free. If one banana weighs $\frac{1}{3}lb$, which of the following correctly orders the four grocers in order of decreasing cost per banana (assuming all purchases are made in $4$ lb increments)?

• A. Bob's, Pinnacle, Fruit Co, Bread
• B. Bob's, Fruit Co, Bread, Pinnacle
• C. Pinnacle, Fruit Co, Bread, Bob's
• D. Bread, Pinnacle, Fruit Co, Bob's

Answer 1

The correct option is A Bob's, Pinnacle, Fruit Co, Bread

$1$ banana $=\frac{1}{3}lb$

So, $1lb=3$ bananas.

Hence, $2lbs=6$ bananas.

FruitCo's cost per banana $=0.2$ $

Bob's cost per banana $=0.29$ $

Pinnacle's cost per banana $=\frac{1.5}{6}=0.25$ $

Breads cost per banana $=\frac{0.65\times 3}{12}=0.1625$ $

Hence, the correct order is Bob $>$ Pinnacle $>$ FruitCo $>$ Bread.