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Reika [66]
2 years ago
10

Nadia has 20 more postcards then Pete. After Nadia gives Pete some cards Pete has 2 more postcards than Nadia. How many postcard

s does Nadia give to Pete?
Mathematics
1 answer:
sergejj [24]2 years ago
5 0

Answer:

11 postcards.

Step-by-step explanation:  

Let x be the number of postcards that Pete have. Let y be number of postcards that Nadia gave to Pete.

We are told that Nadia has 20 more postcards then Pete. So Nadia will have x+20 postcards.        

We are also told that after Nadia gives Pete some cards Pete has 2 more postcards than Nadia. We can represent this information as:

x+y=(x+20-y)+2  

Let us solve for x.

x+y=x+20-y+2  

Add y to both sides of equation.

x+y+y=x+20-y+2+y  

x+2y=x+22  

Subtract x from both sides of equation.

x+2y-x=x+22-x  

2y=22  

y=\frac{22}{2}  

y=11  

Therefore, Nadia gave 11 postcards to Pete.

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