Question

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?

Answer 1

Answer:

Step-by-step explanation:

• 17% textbooks

• notebooks are 4 pounds

• backpack is 2 pounds

4×2= 8

17-8=9

t=9 pounds

Answer 2

Given: 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.

To find: If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks.

(i) 0.7(t)=t-4-2

(ii) 0.7(t)=t+4+2

(iii) 0.7t(4+2)=t

(iv) 0.7(t+4+2)=t

Solution: The equation (0.7(t+4+2)=t) can be used to determine t, the weight of the textbooks.

According to the question, 70% of the weight of the bag is because of the textbooks. Hence, 70% of the total weight of the bag is equal to t. Now, the total weight of the bag can be written as follows.

$t + 4 + 2$

Here, t pounds is the weight of the textbooks, 4 pounds is the weight of his notebooks and the weight of the bag is 2 pounds. Hence, the statement "70% of the total weight of the bag is equal to t" can be written in the form of an equation as shown below.

$\frac{70}{100} (t+4+2) = t$

$0.7 (t+4+2) = t$

Thus, option (iv) is correct.

Therefore, the equation (0.7(t+4+2)=t) can be used to determine t, the weight of the textbooks.

Although part of your question is missing, you might be referring to this full question:  

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?

(i) 0.7(t)=t-4-2

(ii) 0.7(t)=t+4+2

(iii) 0.7t(4+2)=t

(iv) 0.7(t+4+2)=t