Question

Tom are 7 more than 2/5 the amount of hot dogs that Ann ate. Tom ate 17 hot dogs. How many did Ann eat?

Answer 1

The number of hotdogs ate by Ann is 25

Solution:

Given that, Tom ate 7 more than
`(2)/(5)` the amount of hot dogs that Ann ate

Tom ate 17 hot dogs

Number of hotdogs ate by Tom = 17

To find: Number of hotdogs ate by Ann

Let "x" be the number of hotdogs ate by Ann

From given statement,

Number of hotdogs ate by Tom = 7 +
`(2)/(5)` of Number of hotdogs ate by Ann

`17 = 7 + (2)/(5) \text{ of } x\\\\17 = 7 + (2)/(5) * x\\\\17 = 7+(2x)/(5)\\\\17=(35+2x)/(5)\\\\85 = 35 + 2x\\\\2x = 50\\\\x = 25`

Thus number of hotdogs ate by Ann is 25