Solve the following word problem using two variables. show each step of your work. juan is three years older than maria. the sum of their ages is 21. find both ages.

To solve this problem, we can use a system of equations. Let’s let the variable j represent Juan’s age and the variable m represent Maria’s age.

From our given information, we can construct two equations with our given variables:

j + m = 21

m + 3 = j

To solve, we can manipulate our second equation to be for m in terms of j.

m + 3 = j

m = j - 3

Now, we can substitute in this value for m into our first equation.

j + m = 21

j + (j -3) = 21

Next, we can add the variable terms on the left side of the equation.

2j -3 = 21

Next, we can add 3 to both sides to get the variable term alone on the left side of the equation.

2j = 24

Finally, we should divide both sides by 2 in order to solve for j.

j = 12

Finally, we must substitute this value for j into one of the original equations.

j + m = 21

12 + m = 21

m = 9

Therefore, Maria is 9 and Juan is 12.

Hope this helps!

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation:

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;