S
Study Assistant
· Algebra tutor
You
A stamp collection has 3 times as many foreign stamps as domestic ones. If there are 48 stamps in total, how many are foreign?
AI
Let
d
be the number of domestic stamps. Then the foreign stamps number
3d
.
Since the whole collection is 48:
d + 3d = 48
→
4d = 48
→
d = 12
.
So there are
3 × 12 = 36
foreign stamps (and 12 domestic).
You
If I add 12 more foreign stamps to the collection, what's the new ratio of foreign to domestic?
AI
New foreign total:
36 + 12 = 48
, with domestic unchanged at
12
.
Ratio
foreign : domestic = 48 : 12
. Divide both by 12 →
4 : 1
.
So the collection is now 4 foreign stamps for every 1 domestic stamp.
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