Answer:
Use these numbers in the boxes:
2.4 2.8 10
3
Explanation:
First, convert the mixed numeral into a decimal number.
2 2/5 = 2 + 2/5 = 2 + 0.4 = 2.4
Each recipe of soup needs 2.4 lb of tomatoes.
We want to find out the number of soup recipes he can make.
Since we don't know the number of recipes he can make, we use a variable to represent that unknown number.
Let x = number of recipes he will make.
1 recipe of soup uses 2.4 lb of tomatoes.
2 recipes of soup use 2.4 × 2 lb of tomatoes.
x recipes of tomatoes use 2.4 × x lb of tomatoes.
2.4 × x is the same as 2.4x.
The amount of tomatoes he uses in x recipes is 2.4x lb.
He needs to set aside 2.8 lb of tomatoes for making sauce.
Now the total amount of tomatoes he is using is
2.4x (in the soup recipes) + 2.8 (in the sauce), or simply
2.4x + 2.8
The total amount of tomatoes he has is 10 lb, so 2.4x + 2.8 must equal 10 lb.
The equation is
2.4x + 2.8 = 10
Solve the equation:
2.4x + 2.8 = 10
Subtract 2.8 from both sides.
2.4x = 7.2
Divide both sides by 2.4
x = 7.2/2.4
x = 3
Answer:
Use these numbers in the boxes:
2.4 2.8 10
3