Elsa has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 820 cans and bottles in her truck. Let x be the number of 14-ounce cans in her truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.
number of cans --- x
number of bottles -- 820-x
total weight = 14x + 70(820-x)
To write an expression for the combined total weight of the cans and bottles in Elsa's truck, we need to consider the weights of both the cans and the bottles.
Let's start by considering the weight of the cans. Since each can weighs 14 ounces, we can find the total weight of the cans by multiplying the number of cans (x) by the weight of each can (14 ounces).
Total weight of the cans = 14 * x
Next, let's consider the weight of the bottles. Each bottle weighs 70 ounces. The number of bottles can be calculated by subtracting the number of cans (x) from the combined total of 820 cans and bottles.
Number of bottles = 820 - x
We can find the total weight of the bottles by multiplying the number of bottles by the weight of each bottle (70 ounces).
Total weight of the bottles = 70 * (820 - x)
To find the combined total weight of the cans and bottles, we can add the two expressions together:
Combined total weight = Total weight of the cans + Total weight of the bottles
Combined total weight = 14 * x + 70 * (820 - x)
Therefore, the expression for the combined total weight (in ounces) of the cans and bottles in Elsa's truck is 14x + 70(820 - x).