Please show equation and solve for the following
1. Lyn's age is 8 years less than 15 times the age of her niece Elizabeth. If the sum of their ages is 24, what is Elizabeth's age ( Let e= Elizabeth's age)
2. Bob is renting a canoe for $20, plus $9.75 per day. How mant days did Bob rentthe canoe if he spent&78.50 altogether? (Let d = number of days Bob rented the Canoe)
Thanks
Reiny below is the answer for one, please read my response for #2 - thanks
Math _Algebra Word Problem - Reiny, Wednesday, September 23, 2009 at 8:16pm
looks like you are solving
15e-8 + e = 24
and
78.75 = 9.75d + 20
what did you get?
Math _Algebra Word Problem - DMAR, Wednesday, September 23, 2009 at 8:46pm
Answer for #1 is Elizabeth is 2 and Lyn is 22
For #2 am not sure for this one, please solve
Thanks
Gabby is twice as old as Kasey, and Kasey is four years younger than Tyler. The sum of their ages is 24. Find their ages
see
http://www.jiskha.com/display.cgi?id=1253750764
Tara is 3 years older than Sam. Sam's age is 12 less than twice Tara's age. How old is Tara? Write an expression, then eveluate.
To solve the equation for question 1, you can follow these steps:
Step 1: Assign variables to the unknown quantities. Let e be Elizabeth's age.
Step 2: Translate the problem into an equation. The problem states that Lyn's age is 8 years less than 15 times Elizabeth's age. Mathematically, this can be represented as Lyn's age = 15e - 8. The sum of their ages is given as 24, so we can also write the equation as (Lyn's age) + Elizabeth's age = 24.
Step 3: Substitute the expression for Lyn's age into the sum of their ages equation. (15e - 8) + e = 24.
Step 4: Simplify the equation. Combine like terms: 15e + e - 8 = 24. This can be rewritten as 16e - 8 = 24.
Step 5: Solve for e. Add 8 to both sides of the equation: 16e = 32. Then, divide both sides by 16: e = 2.
Therefore, Elizabeth is 2 years old.
For question 2, let's follow these steps to solve the equation:
Step 1: Assign variables to the unknown quantities. Let d be the number of days Bob rented the canoe.
Step 2: Translate the problem into an equation. The problem states that Bob spent a total of $78.50, including a $20 rental fee and $9.75 per day. Mathematically, this can be represented as the equation 20 + 9.75d = 78.50.
Step 3: Simplify the equation. Combine like terms: 9.75d + 20 = 78.50.
Step 4: Solve for d. Subtract 20 from both sides of the equation: 9.75d = 58.50. Then, divide both sides by 9.75: d = 6.
Therefore, Bob rented the canoe for 6 days.