Answer:
Each box of turnips weighs 5.2 pounds
Step-by-step explanation:
Let us model this situation as an equation in one variable and solve for that variable given the information in the question
Let x pounds be the weight of each box of turnip
Let y be the total weight of the cargo in the truck
There are 200 boxes of turnips so the total weight of turnips cargo
= 200x pounds
There is one crate of apples so total weight of apple cargo = 50 pounds
Together the entire cargo weighs 200x + 50 pounds
We are given the numeric value of this cargo as 1090 pounds
Equating the expression in x to the numeric value of cargo we get
200x + 50 = 1090
To solve for x:
1. Subtract 50 from both sides:
200x + 50 - 50 = 1090 - 50
2. Simplify expression in step 1:
200x = 1040
3. Divide both sides by 200:
200x/200 = 1040/200
4. Simplify
x = 5.2 pounds
Therefore each box of turnips weighs 5.2 pounds