Answer:
1a. 64=4(7+x)
1b. x=9
2a. 64=7+4x
2b. x=57/4
Step-by-step explanation:
1a. To represent this situation, all of the weight for each package must be in the equation. Since each package has 4 boxes, and only the objects in one box are detailed, everything must be multiplied by 4. Now, the values that must be multiplied by 4 are a bag of rice and beans. Since the beans weigh 7 pounds, they can be represented using the constant 7, and the rice can be represented with the variable x. Combining all of this information, the equation 64(total)=4(7+x)
1b. Now, the equation above must be solved. First, divide both sides by 4 in order to get 16=7+x. Now, subtract 7 from both sides to find that x=9
2a. This problem is similar to the first problem, except instead of multiplying both the beans and rice by four, only the rice needs to be multiplied. With this knowledge the equation 64=7+4x is created.
2b. To solve the above equation, 7 must be subtracted from both sides. This leaves 57=4x. Now, both sides must be divided by 4, giving the final answer of x=57/4.
