Will the given equation solve the problem? Choose all which will.
Responses
A Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − n
B Problem: Anna drove 450 km in 6 hours. Find her rate of travel. Equation: 450r = 6
C Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −n
D Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection. Equation: x + 10x = $5.25Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection. Equation: x + 10x = $5.25
A and D will solve the given problems.
A, C, D
The equations that will solve the problems are:
A) Equation: 2n - 6 = 9 - n
This equation will solve the problem of finding the number when given the condition that the sum of twice a number and -6 is 9 more than the opposite of the number.
C) Equation: 3n + 44 = -n
This equation will solve the problem of finding the number when given the condition that three times a number increased by 44 is the same as the opposite of the number.
D) Equation: x + 10x = $5.25
This equation will solve the problem of finding the number of quarters in Sara's collection when given the condition that she has five times as many dimes as quarters and the total amount for the change is $5.25.
Therefore, the answer is A, C, and D.