Can you help me with these Algebra 2 word problems?

I really need help with these word problems? Can you tell me step by step on how to do it and give me the correct answer? Thanks so much!





Solve each problem by writing an inequality.


1. Xul is two years older than his sister Maria. The sum of their ages is greater than 32. Describe Maria's age.





2. A research team estimates that 30% of their questionnaires will not be returned. How many questionnaires should they mail out in order to be reasonably certain that at least 750 will be returned?





Solve each problem by writing a compound inequality.


1. Watermelons cost $.39 per pound at a local market. Kent's watermelon cost between $4.00 and $5.00. What are the possible weights of his watermelon?








Please help me with these!!!!





Thanks sooo much!! :)

Can you help me with these Algebra 2 word problems?
1. Let m = maria's age


m + 2 = xul's age


m + m + 2 %26gt; 32


2m + 2 %26gt; 32


2m %26gt; 30


m %26gt; 15


Maria must be older than 15 years.





2. 70% of what number is 750


.7 x = 750


x = 1072 questionnaires





3. $4 %26lt; .39x %26lt; $5, where x = the number of pounds


4/.39 %26lt; x %26lt; 5/.39


10.3 %26lt; x %26lt; 12.8
Reply:1.


their ages add up to be 32 and xul is 2 years older so make that 30. divide that in half to find his sisters height because shes half of 32 minus 2.





2.


find 30% of 750. then add that to 750 (750*.3=225)


750+225= 975





3.


x*.39 (39 cents) = 4.00


x*.39=5.00


divide both sides by .39 to get x alone


x*.39=4.00 x=10.25641026 ~ 10.3 pounds


x*.39=5.00 x=12.82051282 ~ 12.8 pounds





Watermellons are between 10.3 and 12.8 pounds
Reply:1) let Xul's age be 'x', Maria's age 'y'


y+(y+2)%26gt;32


2y+2%26gt;32


2y%26gt;30


y%26gt;15


meaning Maria's age must be greater that 15





2) solve this by cross multiplication


if 30% wont be returned, then 70% will be. so 70% of all ?s to be mailed out is 750.


if x=100%


then 750=70%


at least 1071 questionnaires should be mailed out





3) between 4/.39 and 5/.39


so that's betw 10.3 and 13
Reply:no1. is 32-2 =30


no3 i would say 3lbs
Reply:1) Xul's age is 2 more than Maria's age (X=M+2) and the sum is greater than 32(X+M%26gt;32), so twice Maria's age plus 2 is more than 32(2M+2%26gt;32). Twice Maria's age is therefore more than 30(2M%26gt;30). Maria's age is more than 15(M%26gt;15).





2) An estimated 70% of the questionaires will be returned, in that case. In that case, the desire return amount of 750 represents 70% of the minimum amount(750%26lt;=70%A) that need to be sent. Divide 750 by 70% or 0.70 to to get the amount.





3) The least(L) a watermelon can weigh (W) is ($4.00/$0.39)pounds. The most(M) it can weigh is ($5.00/$0.39) pounds. Divide total price by unit price to find weight. So the weight must be between those amounts, or L is less than W which is in turn less than M, written as L%26lt;W%26lt;M. Substituting values:


400/39%26lt;W%26lt;500/39.
Reply:Ooops I didn't read the Q right. I guess Gateach was right. I hope I didn't confuse you.





I'll explain all the Qs step by step in case, you still didn't understand it.





1. Let m = Maria's age and let x = Xul's age





x is exactly 2 years older than m,


therefore, =%26gt; x = m + 2





Since x and m are greater than 32


x + m %26gt; 32


but we know that x (Xul's age) is 2 years older than m,


so we can substitute x to be m+2.





x + m %26gt; 32


m+2 + m %26gt; 32


2m +2 %26gt; 32 (we can bring the two m's together in the equation.





Then get rid of the 2 by subtracting on both sides:


2m +2 -2 %26gt; 32 - 2


2m %26gt; 30





Then divide the 2 out to get m (Maria's age) who is 2 years younger than x (Xul's age)


2m/2 %26gt; 30/2


m %26gt; 15





Therefore, ==%26gt; maria must be at least 16 or older because both Maria and Xul's age are over 32. You can check by adding m + x = 15 + 17 = 32. Maria's age, m cannot be 15 because we already stated in the question that their combined ages are over 32.





Q2. You're comparing two fractions in this Q. Let X be the total number of questionnaires.


You know the maximum % has to be 100%.


70% of the questionnaires will be returned since we already know that 30% will not be returned: 100-30 = 70% returned





So it is 70/100. Then you know you need to think of the 750 as equivalent to 70 and the the denominator (bottom fraction) of 750 to be the T.


70/100 = 750/T





See, you're comparing on the numerator (top part of fraction) 70% to 750 and





the denominator (bottom part of fraction) 100% to the T (the total number of Questionnaires).





To find X, you need to isolate it





70/100 = 750/T


Multiply T on both sides to get rid of it on the denominator.


T(70)/100 = (750/T)(T)





70T/100 = 750





Then you need to multiply 100 on both sides to isolate T.





(100) (70T/100) = 750 (100)


70T = 75,000





Then the last step to isolate T is divide by 70 in both sides:


70T/70 = 75,000/70





==%26gt; T = 1071.





There's your answer. You need a total of 1071 Questionnaires. You will find that 70% of 1071


0.70 x1071= 750 which is the number of questionnaires that will be returned.





Q3. Each watermelon costs $0.39 per pound. You need to divide the cost $4.00 by the dollar amount worth of one pound. Then do the same for the cost $5.00.





$4.00 %26lt; W %26lt; $5.00


$4.00/0.39 lb %26lt; X %26lt; $5.00/0.39 lb


10.26 lb%26lt; W %26lt; 12.82 lb





I hope this helps.
Reply:i was going to answer but i can see you already got help!