Which strategies can be used to solve this problem?
The car assembly line workers at a new factory painted 5,000 cars in its first year, 7,213 cars in its second year, and 8,201 cars during its third year. How many more cars did the workers paint in its first and second years together than in its third year?
Choose all answers that are correct.
A.
Draw a diagram. Draw three circles. In one write 5,000, in another write 7,213, and in the third write 8,201. Draw an x through the circle with 8,201 written in it. Circle the other two circles with a larger circle.
B.
Translate into an equation.
(5,000 + 7,213) – 8,201 = c
C.
Work backward. Add 5,000 (cars painted first year) to 7,213 (cars painted in second year). Add 8,201 (cars painted in third year).
D.
Use logical reasoning. Combine the totals for cars painted in the first two years (5,000 + 7,213). Subtract 8,201 (cars painted in the third year) from the sum to get the answer.