Two 5th grade classes raised money for their local animal shaelters.There are 20 students in Class A. Each student raised 12$.
There are 26 students in Class B raised 1.5 times as much as each student in Class A.
A. How much money was raised altogether in both classes? Show your work and explain your answer.
B. The money raised went to 2 shelters. One shelter received twice as much as the other. How much shelter did each shelter receive? Show your work and explain your answer.
Class A raised 20 x 12 or $240
Class B raised 26 x 1.5 x 12 = $468
total raised = $708
split the 708 into 3 parts
give one shelter two of those parts, and the other shelter one part
708/3 = 236
shelter 1 gets 2 x 236 = $472
shelter 2 gets 1 x 236 = $236
A. To find out how much money was raised altogether in both classes, we need to calculate the total amount of money raised by each class and then add them together.
For Class A, we know that there are 20 students and each student raised $12. To find the total amount of money raised by Class A, we can multiply the number of students by the amount raised per student:
Total amount raised by Class A = Number of students in Class A x Amount raised per student
Total amount raised by Class A = 20 x $12
Total amount raised by Class A = $240
For Class B, we know that there are 26 students and each student raised 1.5 times as much as each student in Class A. To find the amount raised per student in Class B, we need to multiply the amount raised per student in Class A by 1.5:
Amount raised per student in Class B = Amount raised per student in Class A x 1.5
Amount raised per student in Class B = $12 x 1.5
Amount raised per student in Class B = $18
To calculate the total amount raised by Class B, we can multiply the number of students in Class B by the amount raised per student:
Total amount raised by Class B = Number of students in Class B x Amount raised per student
Total amount raised by Class B = 26 x $18
Total amount raised by Class B = $468
Now, to find the total amount raised altogether in both classes, we can simply add the amounts raised by Class A and Class B:
Total amount raised altogether = Total amount raised by Class A + Total amount raised by Class B
Total amount raised altogether = $240 + $468
Total amount raised altogether = $708
Therefore, the two 5th grade classes raised a total of $708 altogether for their local animal shelters.
B. The money raised went to two shelters, with one receiving twice as much as the other. To find how much each shelter received, we can divide the total amount raised by the number of shelters.
Let's assume Shelter A received x amount of money. Since Shelter B received twice as much as Shelter A, Shelter B received 2x amount of money.
Now, we know the total amount raised was $708. So we have:
x + 2x = $708
3x = $708
Divide both sides by 3 to solve for x:
x = $708 / 3
x ≈ $236
So, Shelter A received approximately $236, and since Shelter B received twice as much, Shelter B received approximately $472.
In summary, Shelter A received approximately $236, and Shelter B received approximately $472.