The ratio of the number of apples to the number of pears in a basket was 3:5. After 7more apples were added to the basket and 9 pears were removed ,there were a
Mathematics
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Question
The ratio of the number of apples to the number of pears in a basket was 3:5. After 7more apples were added to the basket and 9 pears were removed ,there were an equal number of apples and pears .how many apples and how many pears were originally in the basket
1 Answer

1. User Answers FRESHPRNCE
Answer:
Apples = 24
Pears = 40
Stepbystep explanation:
Let u be the unit of fruit in the basket,
number of apples: [tex]3u +7[/tex]
number of pears: [tex]5u 9[/tex]
now to find u, we equate the two equations.
[tex]3u+7=5u9[/tex]
Now simplify.
[tex]5u3u=7+9[/tex]
[tex]2u=16[/tex]
[tex]u=8[/tex]
Now we can find the original number of apples and pears by substituting u.
so original number of apples = [tex]3u = 3(8) = 24[/tex]
and original number of pears = [tex]5u = 5(8) = 40[/tex]