Final answer:
The farmer sold 939 pounds of tomatoes and 1028 pounds of carrots, resulting in a total of 1967 pounds of produce sold at the market.
Step-by-step explanation:
To determine how many total pounds of tomatoes and carrots the farmer sold at the market, we need to multiply the weight of one crate of each vegetable by the number of crates sold and then add the results.
So, if 3 crates of tomatoes each weigh 313 pounds, the total weight for tomatoes is:
3 crates × 313 pounds per crate = 939 pounds of tomatoes.
Similarly, if 2 crates of carrots each weigh 514 pounds, the total weight for carrots is:
2 crates × 514 pounds per crate = 1028 pounds of carrots.
To find the total weight of all vegetables sold, we add the weight of the tomatoes and carrots together:
939 pounds + 1028 pounds = 1967 pounds.
Therefore, the farmer sold a total of 1967 pounds of tomatoes and carrots at the market.