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

Answer 1

Answer:

Apples = 24

Pears = 40

Step-by-step explanation:

Let u be the unit of fruit in the basket,

number of apples: $3u +7$

number of pears: $5u -9$

now to find u, we equate the two equations.

$3u+7=5u-9$

Now simplify.

$5u-3u=7+9$

$2u=16$

$u=8$

Now we can find the original number of apples and pears by substituting u.

so original number of apples = $3u = 3(8) = 24$

and original number of pears = $5u = 5(8) = 40$