Answer:
4 pounds of strawberries and 5 pounds of apples are bought.
Step-by-step explanation:
Given:
Total number of pounds of fruit = 9 pounds
Total money spent = $16.35
Cost of 1 pound of strawberry = $1.60
Cost of 1 pound of apple = $1.99
Let 'x' pounds of strawberries and 'y' pounds of apples are bought.
So, as per question:
The sum of the pounds is 9. So,
[tex]x+y=9\\\\y=9-x----1[/tex]
Now, total sum of the fruits is equal to the sum of 'x' pounds of strawberries and 'y' pounds of apples. So,
[tex]1.60x+1.99y=16.35----2[/tex]
Now, plug in the 'y' value from equation (1) in to equation (2). This gives,
[tex]1.60x+1.99(9-x)=16.35\\\\1.60x+17.91-1.99x=16.35\\\\Combining\ like\ terms, we get:\\\\1.60x-1.99x=16.35-17.91\\\\-0.39x=-1.56\\\\x=\frac{-1.56}{-0.39}=4\ pounds[/tex]
Now, from equation 1, we have:
[tex]y=9-4=5\ pounds[/tex]
Therefore, 4 pounds of strawberries and 5 pounds of apples are bought.
