Question

A man buys 30 birds, which are sparrows, turtle-doves, and doves, for 30 dollars. Three sparrows cost 1 dollar, two turtle-doves cost 1 dollar, and a dove cost 2 dollars. It is required to find how many birds he buys of each kind. Let ???? be the number of sparrows, ???? the number of turtle-doves, and ???? the number of doves. Write two equations that represent the conditions in the problem

Answer 1

Answer: The two equations that represent the conditions in the problems are
`(s)/(3)+(t)/(2)+2d=30`

`s+t+d=30`

Explanation:

Since we have given that

Cost of 3 sparrows = $1

Cost of 2 turtle doves = $1

Cost of 1 dove = $2

Number of birds = 30

total cost = $30

So, Cost of s sparrows would be

`(1)/(3)s`

Cost of t turtle doves would be

`(1)/(2)t`

Cost of d doves would be

`2t`

According to question, it becomes,

`(s)/(3)+(t)/(2)+2d=30`

and

`s+t+d=30`

Hence, the two equations that represent the conditions in the problems are
`(s)/(3)+(t)/(2)+2d=30`

`s+t+d=30`