MATH SOLVE

2 months ago

Q:
# 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

Accepted Solution

A:

Answer: The two equations that represent the conditions in the problems are [tex]\dfrac{s}{3}+\dfrac{t}{2}+2d=30[/tex][tex]s+t+d=30[/tex]Step-by-step explanation:Since we have given that Cost of 3 sparrows = $1Cost of 2 turtle doves = $1Cost of 1 dove = $2Number of birds = 30total cost = $30So, Cost of s sparrows would be [tex]\dfrac{1}{3}s[/tex]Cost of t turtle doves would be[tex]\dfrac{1}{2}t[/tex] Cost of d doves would be [tex]2t[/tex]According to question, it becomes,[tex]\dfrac{s}{3}+\dfrac{t}{2}+2d=30[/tex]and [tex]s+t+d=30[/tex]Hence, the two equations that represent the conditions in the problems are [tex]\dfrac{s}{3}+\dfrac{t}{2}+2d=30[/tex][tex]s+t+d=30[/tex]