Question

A restaurant owner washed 94 kilograms of vegetables, some spinach and some cucumbers. The spinach came in 10-kilogram bags and the cucumbers came in 9-kilogram bags. The owner washed 10 bags of vegetables in all. How many bags of each kind did he wash?

Answer 1

6 bags of cucumber

4 bags of spinach

Explanation:

let s = number of bags of spinach

let c = number of bags of cucumber

If the owner washed 10 bags of vegetables in total, then

s + c = 10

The spinach came in 10kg bags and the cucumbers came in 9kg bags, and the owner washing 94kg of veg in total:

10s + 9c = 94

Rewrite s + c = 10 to make s the subject, substitute it into 10s + 9c = 94, then solve for c:

s + c = 10

⇒ s = 10 - c

⇒ 10(10 - c) + 9c = 94

⇒ 100 - 10c + 9c = 94

⇒ -c = -6

⇒ c = 6

Substitute c=6 into s + c = 10 and solve for s:

s + 6 = 10

⇒ s = 4