Question

Use proportional reasoning to determine the value of a in the proportion below. 3/5=a+5/25

Answer 1

3/5=a+5/25

a+5/25=3/5

25(a+5)/25=3*25/5

a+5=15

a+5-5=15-5

a=10

Answer 2

Answer: a=10

Explanation:

The given proportion:
`(3)/(5)=(a+5)/(25)`

To determine the value of a in the given proportion , we need to multiply 25 on both the sides, we get

`(25*3)/(5)=(25*(a+5))/(25)\\\\\Rightarrrow 15=a+5`

Now, subtract 5 on both the sides, we get

`\\\\\Rightarrrow10=a\ or\ a=10`

Hence, the value of x =10.