Answer:
Linda makes 72 more handmade cards than Paula
Step-by-step explanation:
First you need to find out how many handmade cards Linda makes by making a proportion.
The first ratio is 3 to 2 and since we are trying to find out how many cards Linda makes, it will be represented by x.
3 to 2 represents how many Linda makes to how many Aaron makes so the second ratio will be x to 72 since that's how many cards Aaron made.
Now you can put it into a proportion:
3/2 = x/72
Next you have to do Cross Product Property to find x
So 3*72 = 216
2*x = 2x
2x = 216
Now divide 2 by itself and then by 216 to find what x equals.
2/2 = 1
216/2 = 108
So Linda makes 108 handmade cards.
Now we need to find how many cards Paula made.
The ratio for how many Paula makes to how many Linda makes is 1 to 3
Since we are trying to figure out how many Paula made we need to represent it with x.
The second ratio will be x to 108 since 108 is how many cards Linda made.
Now you can put it into a proportion:
1/3 = x/108
Then you need to do Cross Product Property to find x
So 1*108 = 108
3*x = 3x
3x = 108
Now we need to divide 3 by itself to isolate x and then divide 3 by 108 to find what it equals.
3/3 = 1
108/3 = 36
So Paula makes 36 handmade cards.
Since the question is asking for how many more does Linda make than Paula you need to subtract 108 and 36.
So 108 - 36 = 72
Linda makes 72 more handmade cards than Paula.
