Given: Decorator A bought 5 bouquets that contained 25 roses each. Decorator B bought 20 bouquets that contained 12 roses each. Decorator C bought 40 bouquets that contained 6 roses each, 1. To calculate: The total number of roses each decorator bought. 2. To calculate: Price per rose for each decorator. 3. Which decorator paid the least per rose?

Question

Given: Decorator A bought 5 bouquets that contained 25 roses each.  Decorator B bought 20 bouquets that contained 12 roses each.  Decorator C bought 40 bouquets that contained 6 roses each,  1. To calculate: The total number of roses each decorator bought.  2. To calculate: Price per rose for each decorator.  3. Which decorator paid the least per rose?

lovagwb · Accepted Answer

1. Calculation:  To calculate the number of roses bought by each decorator, multiply the number of bouquets with the number of roses in each bouquet.  For A, the total number of roses bought =5×25=125  For B, the total number of roses bought =20×12=240  For C, the total number of roses bought =40×6=240

psor32 · Accepted Answer

2. Calculation:  To calculate the price per rose for each decorator, find the unit rate.  A paid $120 for 125 roses (Total number of roses bought by A as calculated in subpart 1). Hence cost per rose will be:  $120125 roses  To find unit rate, make denominator 1  $120÷125125 roses÷125 [Divide numerator and denominator by 125]  ⇒$0.961 rose [simplify]  Therefore, A pays $0.96 per rose.  B paid $204 for 240 roses (Total number of roses bought by B as calculated in subpart 1). Hence cost per rose will be:  $204240 roses  To find unit rate, make denominator 1.  $204÷240240 roses÷240 [Divide numerator and denominator by 240]  ⇒$0.851 rose  Therefore, B pays $0.85 per rose.  C paid $180 for 240 roses (Total number of roses bought by C as calculated in subpart 1). Hence cost per rose will be:  $180240 roses  To find unit rate, make denominator 1  $180÷240240 roses÷240 [Divide numerator and denominator by 240]  ⇒$0.751 rose [simplify]  Therefore, C pays $0.75 per rose.

nick1337 · Accepted Answer

3. Calculation: As calculated in subpart 2, Decorator A paid $0.96 for each rose. Decorator B paid $0.85 for each rose. Decorator C paid $0.75 for each rose. Comparing the prices for each rose, it is observed that decorator C paid the least per rose.

Given: Decorator A bought 5 bouquets that contained 25 roses

Answered question

Answer & Explanation

New Questions in Pre-Algebra