Question

1. delaney goes to the store to buy some mushroom soup. she finds that a 110 - ml can costs $1.49. a 500 - ml can of the same brand costs $4.29.

a) which is the better buy?
b) delaney buys the 110 - ml can. why might she have done this?
c) another customer bought a 500 - ml can. how might you explain this?

Explanation:

Step1: Calculate unit - price of 110 - mL can

To find the unit - price (price per mL), divide the cost by the volume. For the 110 - mL can, the unit - price $u_1=\frac{1.49}{110}\approx0.0135$ dollars per mL.

Step2: Calculate unit - price of 500 - mL can

For the 500 - mL can, the unit - price $u_2 = \frac{4.29}{500}=0.0086$ dollars per mL.

Step3: Compare unit - prices

Since $u_2 = 0.0086

Step4: Answer part b

She might have bought the 110 - mL can because she didn't need a large quantity of soup, or she might have had a limited budget for that purchase, or she might have been in a hurry and didn't compare the prices.

Step5: Answer part c

The other customer bought the 500 - mL can probably because they needed a larger quantity of soup, or they recognized that it was a better value in terms of cost per mL.

Answer:

a) The 500 - mL can is the better buy.
b) She might not have needed a large quantity, had a limited budget, or was in a hurry.
c) They might have needed a larger quantity or recognized the better value per mL.