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VashaNatasha [74]
3 years ago
10

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s co

llection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Mathematics
2 answers:
tiny-mole [99]3 years ago
6 0
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
Pavel [41]3 years ago
6 0

Answer:

160 stamps

Step-by-step explanation:

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10

The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9

9(3x+10)=7(5x-10)

27x+90=35x-70

160=8x

x=20

So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have

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