Window cleaners have enough supplies to clean 21 windows per office building on a certain number of buildings. They can also clean the windows of a school with 42 windows. Altogether, there are enough supplies to clean 126 windows. How many office buildings can be washed? Identify the equation that would be used to solve this problem algebraically.
a. 21x - 42=126
b. 42x + 21=126*
c. 42x - 21=126
d. 21x + 42=126
Noe 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.
subtraction and division
addition and multiplication
addition and division
subtraction and multiplication*
Sara 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.
subtraction and division
subtraction and multiplication*
addition and division
addition and multiplication
Can someone please check my answers and or help. Thank you
Help please.
idk
To solve the first problem, we can set up an equation to represent the given information. Let's assume the number of office buildings is represented by "x". Since each office building has 21 windows, the number of windows cleaned in the office buildings would be 21x. In addition, there are 42 windows in the school. So the total number of windows cleaned would be 21x + 42. According to the problem, this should be equal to 126. Therefore, the equation to solve this problem would be: 21x + 42 = 126.
Based on this explanation, the correct answer is b. 42x + 21=126.
For the second problem, we have some information about Noe's bead count. Let's assume that the initial number of beads Noe starts with is represented by "y". We are given that Noe makes 8 identical necklaces using these beads, which means he uses 8y beads for the necklaces. After that, he buys 25 more beads, bringing the total bead count to 8y + 25. According to the problem, this total bead count is equal to 500. Therefore, the equation to solve this problem would be: 8y + 25 = 500.
Based on this explanation, the correct operations needed to solve this problem are subtraction and multiplication.
For the third problem, we have information about the cost of concert tickets purchased by Sara. Let's assume the number of tickets she bought is represented by "t". We are given that each ticket costs $36, so the total cost of tickets purchased without any discount is 36t. However, Sara received a $19 discount, so she paid a total of $53 for the tickets. Therefore, the equation to solve this problem would be: 36t - 19 = 53.
Based on this explanation, the correct operations needed to solve this problem are subtraction and multiplication.