Quote:
(1) The prices per flower for carnations, lilies, and roses are in the ratio 1:3:4, respectively.
The ratio of price can be combined with the ratio of quantity to determine the ratio of total price.
We are given that L = 3C (because C:L is 1:3) and R = 4C (because C:R is 1:4).
Carnation = Price x Quantity = C x 1/2T = 1/2 CT
Lily = Price x Quantity = 3C x 1/3T = CT
Rose = 4C x 1/6T = 2/3 CT
Lily has the greatest total price.
SUFFICIENTQuote:
(2) The price of one rose is $0.75 more than the price of one carnation, and the price of one rose is $0.25 more than the price of one lily.
Two examples can be used to show insufficiency.
- If the flower prices are extremely high, the extra cents will not have a large impact on the total price and ans. will be the flower with the most quantity. (Carnation)
- If the flower prices are extremely low, the extra cents will have a large impact on the total price and ans. will be the most expensive flower. (Rose)
Since we can come up with two different flowers with the greatest total cost - INSUFFICIENT.
Ans: AHope it helps.