Question

Paul, Linda, and Aaron make handmade cards. Paul can make 1 card for every 3 cards Linda makes. Linda can make 3 cards for every 2 cards that Aaron makes. During a week, Aaron makes 72 cards.
How many more cards does Linda make than Paul during the week?

Answer 1

Answer:

Linda makes 3 more cards than Paul.

Step-by-step explanation:

Let's express the affirmations into equations:

Paul (P) can make 1 card for every 3 cards Linda (L) makes:

$\frac{P}{L} = \frac{1}{3}$

$3P = 1L$            (1)

Linda can make 3 cards for every 2 cards that Aaron (A) makes:

$\frac{L}{A} = \frac{3}{2}$  

$2L = 3A$          (2)        

During a week, Aaron makes 72 cards, hence the number of cards of Linda and Paul can be calculated as follows:

From equation (2):

$L = \frac{3}{2}A = \frac{3}{2}72 = 108$

Now, from equation (1):

$P = \frac{1}{3}L = \frac{1}{3}108 = 36$

Finally, the number of cards that Linda makes more than Paul is:

$\frac{L}{P} = \frac{108}{36} = 3$

Therefore, Linda makes 3 more cards than Paul.

I hope it helps you!    

Answer 2

Answer:

53

Step-by-step explanation: