Quick !
will the given equation solve the problem? choose all which will.

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
problem: anna drove 450 km in 6 hours. find her rate of travel.

equation: 450r = 6
problem: three times a number increased by 44 is the same as the opposite of the number. find the number.
equation: 3n + 44 = −n
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 = $5.25

im just going to copy and paste the correct ones and their answers:

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

n = 5

Problem: Anna drove 450 km in 6 hours. Find her rate of travel.

Equation: 450r = 6

r = 75

Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number.

Equation: 3n + 44 = −n

n = -11

a and c

Step-by-step explanation:

a.

b.

Distance=450 km

Time=6 hours

Rate=

But from given equation

Hence, it is wrong.

c.

d.Let number of quarter=x

Number of dimes=5 x

According to question

$5.25

But given equation

$5.25

This is wrong.

Hence, option a and c are true.