Ms. Sue, Here are my questions you told me to repost. Thank you! I appreciate your help.
14. Mark weighs 74 pounds. Together, he and his sister weigh six pounds more than three times the weight of his sister. What is the weight, w, of Mark’s sister?
a. 74 + w = 3w; 37 lb
b. 74 + w – 6 = 3w; 18.5 lb
c. 74 + w = 3w + 6; 34 lb ***
d. 74 + w = 3w – 6; 40 lb
15. Paula sold 35 packages of wrapping paper for this year’s Booster Club fundraiser. This is one less than twice the number of packages that she sold last year. How many packages did Paula sell last year?
a. 17 packages
b. 16 packages
c. 20 packages
d. 18 packages ***
For question 16 write and solve an inequality.
16.
Kelvin and Marsha are going to dinner and a movie this evening. Kelvin wants to have at least $70 cash in his wallet. He currently has $10. How much money, x, does Kelvin need to withdraw from the bank?
a. x + 10 > 70; x > $60
b. x + 10 ≥ 70; x ≥ $60 ***
c. x + 10 < 70; x < $60
d. x + 10 ≤ 70; x ≤ $60
all look correct to me.
wouldn't number 15 be 17 packages because one less than 35 is 34 and 34/2 is 17? How did you get 18?
14. Let's break down the information given in the question.
Mark weighs 74 pounds. Together, he and his sister weigh six pounds more than three times the weight of his sister.
Let's represent the weight of Mark's sister as w.
According to the question, we can write the equation:
74 + w = 3w + 6
To solve for w, we need to isolate it on one side of the equation.
74 - 6 = 3w - w
68 = 2w
Divide both sides by 2:
68/2 = w
w = 34
Therefore, the weight of Mark's sister, w, is 34 pounds.
So, the correct answer is option c. 74 + w = 3w + 6; 34 lb
15. Paula sold 35 packages of wrapping paper for this year's Booster Club fundraiser. This is one less than twice the number of packages that she sold last year.
Let's represent the number of packages she sold last year as x.
According to the question, we can write the equation:
35 = 2x - 1
To solve for x, we need to isolate it on one side of the equation.
35 + 1 = 2x
36 = 2x
Divide both sides by 2:
36/2 = x
x = 18
Therefore, Paula sold 18 packages last year.
So, the correct answer is option d. 18 packages
16. For this question, we need to write and solve an inequality.
Kelvin wants to have at least $70 cash in his wallet. He currently has $10.
Let's represent the amount of money Kelvin needs to withdraw from the bank as x.
According to the question, we can write the inequality:
x + 10 ≥ 70
To solve for x, we need to isolate it on one side of the inequality.
x ≥ 70 - 10
x ≥ 60
Therefore, Kelvin needs to withdraw at least $60 from the bank.
So, the correct answer is option b. x + 10 ≥ 70; x ≥ $60
To solve the first question, let's break down the information given.
We are given that Mark weighs 74 pounds, and together, he and his sister weigh six pounds more than three times Mark's sister's weight. Let's represent Mark's sister's weight as "w".
So, the equation to represent the relationship between Mark's weight and his sister's weight is:
74 + w = 3w + 6.
Now, we need to solve for the weight of Mark's sister, which is "w".
First, we'll combine like terms on the right side of the equation by subtracting "w" from both sides:
74 = 2w + 6.
Next, we'll isolate "w" by subtracting 6 from both sides:
68 = 2w.
Lastly, we'll divide both sides by 2 to solve for "w":
w = 34.
Therefore, the weight of Mark's sister is 34 pounds. So the correct answer is option c - "74 + w = 3w + 6; 34 lb."
Moving on to the second question:
We are given that Paula sold 35 packages of wrapping paper for this year's Booster Club fundraiser, which is one less than twice the number of packages she sold last year. Let's represent the number of packages Paula sold last year as "x".
So, the equation to represent the relationship between the number of packages this year and last year is:
35 = 2x - 1.
Now, we need to solve for the number of packages Paula sold last year, which is "x".
First, we'll add 1 to both sides of the equation to isolate "2x" on the right side:
36 = 2x.
Next, we'll divide both sides by 2 to solve for "x":
x = 18.
Therefore, Paula sold 18 packages last year. So the correct answer is option d - "18 packages."
Now let's move on to the third question, which requires us to write and solve an inequality:
Kelvin wants to have at least $70 cash in his wallet for dinner and a movie. He currently has $10. Let's represent the amount of money Kelvin needs to withdraw from the bank as "x".
We know that Kelvin needs to have at least $70, so we can write the inequality as:
x + 10 ≥ 70.
Now, let's solve for "x".
First, we'll subtract 10 from both sides to isolate "x" on the left side:
x ≥ 60.
Therefore, Kelvin needs to withdraw at least $60 from the bank. So the correct answer is option b - "x + 10 ≥ 70; x ≥ $60."