at isabella’s store, the cost of six boxes of cereal is $38.44. at john’s store, the cost of eight boxes of…

at isabella’s store, the cost of six boxes of cereal is $38.44. at john’s store, the cost of eight boxes of the same cereal is $50.61. 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.\n\nanswer attempt 1 out of 2\n\nat isabella’s store, \\boxed{} boxes of cereal cost $\\boxed{}. at john’s store, \\boxed{} boxes of cereal cost $\\boxed{}. \\underline{\\hspace{1cm}} store has the better price.

at isabella’s store, the cost of six boxes of cereal is $38.44. at john’s store, the cost of eight boxes of the same cereal is $50.61. 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.\n\nanswer attempt 1 out of 2\n\nat isabella’s store, \\boxed{} boxes of cereal cost $\\boxed{}. at john’s store, \\boxed{} boxes of cereal cost $\\boxed{}. \\underline{\\hspace{1cm}} store has the better price.

Answer

Explanation:

Step1: Find unit price at Isabella's

To find the unit price (price per box) at Isabella's store, divide total cost by number of boxes. So, unit price ( p_I = \frac{38.44}{6} \approx 6.41 ) dollars per box. Now, let's find the cost for 8 boxes (to match John's number of boxes) or find the number of boxes for a common price. Alternatively, find the least common multiple of 6 and 8, which is 24. Let's calculate cost for 24 boxes at each store. For Isabella's: Cost for 24 boxes = ( 24 \times \frac{38.44}{6} ). First, ( \frac{38.44}{6} \approx 6.4067 ), then ( 24 \times 6.4067 \approx 153.76 ) dollars.

Step2: Find cost for 24 boxes at John's

At John's store, 8 boxes cost $50.61. So cost for 24 boxes (since 24 is 3 times 8) is ( 3 \times 50.61 = 151.83 ) dollars. Alternatively, find the number of boxes for a common price. Let's use 24 boxes as common quantity. So at Isabella's, 24 boxes cost ~$153.76; at John's, 24 boxes cost $151.83. Or, find price per box: Isabella's: ( 38.44 \div 6 \approx 6.41 ) per box; John's: ( 50.61 \div 8 \approx 6.33 ) per box. So John's is cheaper. But the question says "find a pair of common values (same number of cereal boxes or same price)". Let's use 24 boxes (LCM of 6 and 8). At Isabella's: 6 boxes cost $38.44, so 24 boxes (6×4) cost ( 38.44×4 = 153.76 ) dollars. At John's: 8 boxes cost $50.61, so 24 boxes (8×3) cost ( 50.61×3 = 151.83 ) dollars. So the common number of boxes is 24.

Answer:

At Isabella's store, (\boldsymbol{24}) boxes of cereal cost (\boldsymbol{$153.76}). At John's store, (\boldsymbol{24}) boxes of cereal cost (\boldsymbol{$151.83}). John's store has the better price.