Question

at noahs store, the cost of six boxes of cereal is $38.00. at aishas store, the cost of nine boxes of the same cereal is $76.00. compare prices by finding a pair of common values (same number of cereal boxes or same price). round your answers to the nearest cent if necessary.

answer attempt 1 out of 6

at noahs store, □ boxes of cereal cost $□. at aishas store, □ boxes of cereal cost $□. ~ store has the better price.

Explanation:

Step1: Find unit price at Noah's store

To find the price per box at Noah's store, we divide the total cost by the number of boxes. So, the unit price \( p_{Noah} = \frac{38.00}{6} \approx 6.33 \) dollars per box.

Step2: Find unit price at Aisha's store

For Aisha's store, the unit price \( p_{Aisha} = \frac{76.00}{9} \approx 8.44 \) dollars per box.

Step3: Find common number of boxes (e.g., 18 boxes, LCM of 6 and 9)

For Noah's store, cost for 18 boxes: \( 18\times\frac{38}{6}= 3\times38 = 114 \) dollars.
For Aisha's store, cost for 18 boxes: \( 18\times\frac{76}{9}= 2\times76 = 152 \) dollars.
Or using unit price (1 box): Noah's 1 box ≈ $6.33, Aisha's 1 box ≈ $8.44. So Noah's is better.

Answer:

At Noah's store, \( \boldsymbol{1} \) boxes of cereal cost \( \boldsymbol{\$6.33} \). At Aisha's store, \( \boldsymbol{1} \) boxes of cereal cost \( \boldsymbol{\$8.44} \). \( \boldsymbol{Noah's} \) store has the better price.

(Or using 18 boxes: At Noah's store, \( \boldsymbol{18} \) boxes of cereal cost \( \boldsymbol{\$114.00} \). At Aisha's store, \( \boldsymbol{18} \) boxes of cereal cost \( \boldsymbol{\$152.00} \). \( \boldsymbol{Noah's} \) store has the better price.)