Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART A
Which of the following sequences of steps can be used to find the cost of each frozen meal?
Responses
A Multiply 9 by 2, then subtract the result from 22Multiply 9 by 2, then subtract the result from 22
B Subtract 9 from 22, then divide by 2Subtract 9 from 22, then divide by 2
C Divide 22 by 2, then subtract 9Divide 22 by 2, then subtract 9
D Subtract 9 from 22, then subtract 2Subtract 9 from 22, then subtract 2
Question 2
The correct answer is B. Subtract 9 from 22, then divide by 2.
This is because Aniyah spends $9 on paper towels, so the cost of the frozen meals can be found by subtracting $9 from the total amount she spends ($22) and then dividing by 2 since she buys 2 frozen meals.
Using this sequence of steps, we have:
22 - 9 = 13
13 / 2 = 6.5
Therefore, each frozen meal costs $6.50.
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Question 1
Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART A
Which of the following sequences of steps can be used to find the cost of each frozen meal?
Responses
A Multiply 9 by 2, then subtract the result from 22Multiply 9 by 2, then subtract the result from 22
B Subtract 9 from 22, then divide by 2Subtract 9 from 22, then divide by 2
C Divide 22 by 2, then subtract 9Divide 22 by 2, then subtract 9
D Subtract 9 from 22, then subtract 2Subtract 9 from 22, then subtract 2
Question 2
PART B
Which of the following shows the algebraic steps used to write and solve an equation to determine the cost of each frozen meal?
Responses
A
2(x+9)=22
2(x+9)2=222
x+9=11
−9=−9
x=22 times open paren x plus 9 close paren is equal to 22 the fraction with numerator 2 times open paren x plus 9 close paren and denominator 2 is equal to 22 halves x plus 9 is equal to 11 negative 9 is equal to negative 9 x is equal to 2
B
2x+9=22
2x2+9=222
x+9=11
−9=−9
x=22 x plus 9 is equal to 22 2 x over 2 plus 9 is equal to 22 halves x plus 9 is equal to 11 negative 9 is equal to negative 9 x is equal to 2
C
2x+9=22
−9=−9
2x=13
2x2=132
x=6.52 x plus 9 is equal to 22 negative 9 is equal to negative 9 2 x is equal to 13 2 x over 2 is equal to 13 halves x is equal to 6 point 5
D
2x+9=22
−9=−9
2x=13
−2=−2
x=11 2 x plus 9 is equal to 22 negative 9 is equal to negative 9 2 x is equal to 13 negative 2 is equal to negative 2 x is equal to 11
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The correct answer for Part B is A.
The algebraic steps used to write and solve an equation to determine the cost of each frozen meal are as follows:
Step 1: Let x represent the cost of each frozen meal.
Step 2: The total amount spent is $22, and $9 is spent on paper towels. Therefore, the cost of the 2 frozen meals is 22 - 9 = 13.
Step 3: Set up the equation to find the cost of each frozen meal:
2(x + 9) = 22
Step 4: Simplify and solve the equation:
2x + 18 = 22
2x = 4
x = 2
Therefore, the cost of each frozen meal is $2.
To find the cost of each frozen meal, we can use the information provided:
Aniyah spends $22 in total, $9 on paper towels, and buys 2 frozen meals that have the same cost.
To determine the cost of each frozen meal, we can subtract the amount spent on paper towels from the total amount spent and then divide the remaining amount by 2, since there are 2 frozen meals with the same cost.
Let's consider each option:
A) Multiply 9 by 2, then subtract the result from 22
This option does not account for the fact that the 2 frozen meals have the same cost. It only considers the cost of the paper towels.
B) Subtract 9 from 22, then divide by 2
This option correctly subtracts the amount spent on paper towels from the total and then divides the remaining amount by 2 to find the cost of each frozen meal.
C) Divide 22 by 2, then subtract 9
This option divides the total amount spent by 2 first, without accounting for the amount spent on paper towels.
D) Subtract 9 from 22, then subtract 2
This option subtracts 2 from the amount spent on paper towels, which is incorrect.
Therefore, the correct sequence of steps to find the cost of each frozen meal is:
B) Subtract 9 from 22, then divide by 2