Maya 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.
14 x + [70 (820 - x)]
To write an expression for the combined total weight of the cans and bottles in Maya's truck, we need to multiply the number of cans by their weight and add it to the product of the number of bottles by their weight.
Let's start by defining the variables:
x = number of 14-ounce cans
Now, we can write the expression:
Total weight = (14 * x) + (70 * (820 - x))
Here's the explanation:
- The weight of each 14-ounce can is 14 * x, where x represents the number of cans.
- The weight of each 70-ounce bottle can be calculated by subtracting the number of cans (x) from the total number of cans and bottles (820 - x) and then multiplying it by 70. This gives us 70 * (820 - x).
- Adding these two terms together gives us the total weight in ounces of the cans and bottles in Maya's truck.
To write an expression for the combined total weight of the cans and bottles in Maya's truck, we need to know the weight of each can and bottle and the number of cans in the truck.
We are told that each can weighs 14 ounces and there are x cans. So, the total weight of the cans would be 14 * x.
We are also told that each bottle weighs 70 ounces and there are 820 cans and bottles combined. Since we know the total number of cans (x), we can find the number of bottles by subtracting x from the total number of cans and bottles (820 - x). Therefore, the weight of the bottles would be 70 * (820 - x).
The combined total weight of the cans and bottles would then be the sum of the weight of the cans and the weight of the bottles:
14x + 70(820 - x)
This is the expression for the combined total weight of the cans and bottles in Maya's truck.