Answer:
5 numbers of soda bottles and 10 numbers of juice bottle was purchased.
Step-by-step explanation:
Let Sarah purchased x bottles of Soda and y bottles of Juice.
Each soda bottle contains 45 gm of sugar and each juice bottle contains 30 gm of sugar, and there is a total of 525 gm of sugar,
Hence, we can write 45x + 30y = 525, ⇒ 3x + 2y = 35 ...... (1)
Now, it is given that, she purchased 5 more bottles of juice than bottles of soda.
Hence, x + 5 = y, ⇒ x - y = - 5 ......... (2)
Now, solving equations (1) and (2) we get, 5x = 25, ⇒ x = 5
Hence,from equation (2), y = x + 5 = 10
Therefore, 5 numbers of soda bottles and 10 numbers of juice bottle was purchased. (Answer)