Paul Linda and Aaron make handmade cards. Paul can make one card for every three cards Linda makes. Linda can make three cards for every two cards that Aaron makes. During a week Aaron makes 72 cards. How many more cards does Linda make those Paul during this week?

Linda makes 3 more cards for every 1 card that Paul makes

Step-by-step explanation:

Paul can make one card for every three cards Linda makes.

Paul : Linda = 1 : 3

P/L = 1/3

3P = L (1)

Linda can make three cards for every two cards that Aaron makes.

Linda : Aaron = 3 : 2

L/A = 3/2

2L = 3A (2)

During a week Aaron makes 72 cards. How many more cards does Linda make those Paul during this week?

From (2)

L = 3/2A

A = 72

L = 3/2*72

= (3*73) / 3

= 216/2

= 108

Linda = 108

From (1)

P = 1/3L

= 1/3*108

= (1*108) / 3

= 108/3

= 36

Paul = 36

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

Linda : Paul = 108 : 36

= 108/36

= 3/1

Linda : Paul = 3 : 1

Therefore, Linda makes 3 more cards for every 1 card that Paul makes

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)