A group of 25 eight graders went to collect 300 blankets to donate to victims of super storm Sandy. If each student collects 7 blankets on the first day, how many more blankets will each student need to collect to reach their goal.
Answer must include a Let statement, an equation, a proper solution (using properties of equality)
Would the answer be:
Let x = blankets
25 x 7 + b = 300
175 + b = 300
300-175 = 125
b= 125
Also this question:
Tide Boat Rental charges a rental fee of $200 plus $30 per hour. Surf Boat Rental charges a rental fee of $240 plus $25 per hour. For what number of hours is the boat rental cost the same at each rental business?
Looks right, not the second one you need to set up a system of equations. so here are the variables.
rental 1
let x = number of hours
fee: 200
charge: 30x (don't know the number of hours)
rental 2
let x = number of hours
fee: 240
charge: 25x (same thing as the first one)
now arrange them into equations, equate them together and solve for x (set it up so that rental 1 = rental 2)
OK so will it be:
X = number of hours
200 + 30X = 240 + 25X
-200 -200
___________________________
30X = 40 + 25X
-25X = -25X
_____________________
5X/5 = 40/5
X = 8hours
for your first question, you are right to say that 125 blankets still have to be collected. But it asked for how many blankets have to be collected by each student
so 125/25 or 5 blankets per student.
your second question is done correctly
Yayyy.. Reiny to the rescue!!! Truely appreciat your help.
Thanks!!
Reiny, do u think 1st question about blankets should b written differently? For e.g. If we say b= 5, then the first part of the equation will equal 175+ 5= 80.
I'm thinking it should be written as this:
25 (7+b) = 300
175 + 25b = 300
25b = 125
Pls let me know what you think. Thanks!
To solve this problem, we can proceed as follows:
Let x represent the number of additional blankets each student needs to collect to reach the goal.
On the first day, each student collected 7 blankets, so the total number of blankets collected was:
25 * 7 = 175
To reach the goal of 300 blankets, each student needs to collect an additional x blankets. The total number of blankets collected, including the additional blankets, is:
175 + x
We can set up an equation to represent this situation:
175 + x = 300
To find the value of x, we need to isolate the variable on one side of the equation. We can do this by subtracting 175 from both sides:
175 + x - 175 = 300 - 175
This simplifies to:
x = 125
Therefore, each student needs to collect an additional 125 blankets to reach their goal of 300 blankets.