Stacia wanted concert tickets that were selling for $36 each, and then she got a $19 discount. She paid a total of $53 for the tickets. How many tickets did she buy? Identify the operations needed to solve this problem using the equation 36x −19=53

Question

.(1 point)
Responses

subtraction and multiplication

addition and division

subtraction and division

addition and multiplication

Answer 1

To solve the equation \(36x - 19 = 53\), we need to isolate \(x\) (the number of tickets).

1. First, we would perform addition to eliminate the -19 from the left side: \[ 36x - 19 + 19 = 53 + 19 \] This simplifies to: \[ 36x = 72 \]

2. Next, we perform division to solve for \(x\): \[ x = \frac{72}{36} \] This simplifies to: \[ x = 2 \]

Thus, the operations needed to solve the equation are addition and division.

The correct response is: addition and division.

Answer 2

Niel has a bucket of beads. He uses them to make 8 identical necklaces and then buys 25 beads at the store. He ends up with a total of 500 beads. How many did he start with? Identify the operations needed to solve this problem using the equation b/8 + 25 = 500
.(1 point)
Responses

subtraction and division
subtraction and division
addition and multiplication
addition and multiplication
subtraction and multiplication
subtraction and multiplication
addition and division

Answer 3

To solve the equation \( \frac{b}{8} + 25 = 500 \), we want to isolate \(b\), which represents the number of beads Niel started with.

1. Subtraction: We begin by subtracting 25 from both sides to eliminate the constant term on the left. \[ \frac{b}{8} + 25 - 25 = 500 - 25 \] This simplifies to: \[ \frac{b}{8} = 475 \]

2. Multiplication: Next, we multiply both sides by 8 to solve for \(b\): \[ b = 475 \times 8 \]

Thus, the operations needed to solve the equation are subtraction and multiplication.

The correct response is: subtraction and multiplication.