(Please help! This is timed! Thanks so much!)
The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?
a) 0.7(t) = t – 4 – 2
b) 0.7(t) = t + 4 + 2
c) 0.7t(4 + 2) = t
d) 0.7(t + 4 + 2) = t
Weight of textbooks --- t
weight of notebooks --- 4
weight of backpack ---- 2
total weight = (t + 4 + 2)
70% of that is .7(t+4+2)
"[Seventy percent of the total weight] {is} (textbooks)"
-----> ...........
c
Let's break down the information given in the problem:
- Seventy percent (0.7) of the total weight is textbooks.
- The weight of the notebooks is 4 pounds.
- The weight of the backpack itself is 2 pounds.
We need to find an equation that represents the weight of the textbooks, given by the variable t.
Since the weight of the backpack is made up of the weight of the contents (textbooks and notebooks), as well as the weight of the backpack itself, we can set up an equation as follows:
0.7(t) = t - 4 - 2
This equation states that 70% of the total weight (0.7t) is equal to the weight of the contents (t) minus the weight of the notebooks (4 pounds) and the weight of the backpack itself (2 pounds).
Therefore, the correct equation in this case is:
a) 0.7(t) = t - 4 - 2
To determine the weight of the textbooks, we can use the given information.
We know that the total weight of Jacob's backpack is made up of the weight of the contents (textbooks and notebooks) and the weight of the backpack itself.
Out of the total weight, 70% is textbooks. So, we can represent this as 0.7 times the weight of the contents.
The weight of the contents includes the weight of the notebooks, which is given as 4 pounds. We also know that the weight of the backpack itself is 2 pounds.
To form the equation, we can add up the weights of the textbooks, notebooks, and the backpack, and set it equal to 0.7 times the weight of the textbooks, as follows:
0.7t = t + 4 + 2
Therefore, the correct equation to determine the weight of the textbooks is:
b) 0.7(t) = t + 4 + 2