Adrian has some dimes and some quarters. He has at least 13 coins worth no more than $2.35 combined. If Adrian has 11 dimes, determine all possible values for the number of quarters that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

he could have 2 3 4 or 5

Step-by-step explanation:see on delta math for a better explanation

let d be dimes amount

let a be quarter amount

11d=110

minimum of 13 coins

2.35 max

11d+1q=135 -cannot work because has to equal 13 coins altogether

11d+2q=160-works fits requirements

11d+3q=185-works fits requirements

11d+4q=210-works fits requirements

11d+5q=235-works fits requirements

idn

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.