Question

at hakeem’s store, the cost of seven pounds of rice is $23.08. at rashon’s store, the cost of four pounds of the same rice is $12.95. compare prices by finding a pair of common values (same number of pounds of rice or same price). round your answers to the nearest cent if necessary.

answer attempt 1 out of 2

at hakeem’s store,

pounds of rice cost $

. at rashon’s store,

pounds of rice cost $

.

store has the better price.

Explanation:

Step1: Find unit price for Hakeem's store

To find the unit price (price per pound) at Hakeem's store, we divide the total cost by the number of pounds. So, the unit price \( p_{H} = \frac{23.08}{7} \).
\( p_{H} = 3.29714\cdots \approx 3.30 \) dollars per pound.

Step2: Find unit price for Rashon's store

For Rashon's store, the unit price \( p_{R} = \frac{12.95}{4} \).
\( p_{R} = 3.2375 \approx 3.24 \) dollars per pound.

Step3: Compare prices for 1 pound (common value)

At Hakeem’s store, 1 pound of rice cost \$3.30. At Rashon’s store, 1 pound of rice cost \$3.24. Since \( 3.24 < 3.30 \), Rashon's store has the better price.

(We can also use a common number of pounds, like 28 pounds (LCM of 7 and 4). For Hakeem's: \( 28 \) pounds cost \( 23.08\times4 = 92.32 \) dollars. For Rashon's: \( 28 \) pounds cost \( 12.95\times7 = 90.65 \) dollars. Then compare, but using 1 pound is simpler here.)

Answer:

At Hakeem’s store, 1 pounds of rice cost \$3.30. At Rashon’s store, 1 pounds of rice cost \$3.24. Rashon’s store has the better price.

(Or using 28 pounds: At Hakeem’s store, 28 pounds of rice cost \$92.32. At Rashon’s store, 28 pounds of rice cost \$90.65. Rashon’s store has the better price. Either common value method is acceptable, here we used 1 pound as the common value.)