Answer:
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
Step-by-step explanation:
Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.
Together, the classes sold 60 items, so
x + y = 60
Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.
Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.
Together, the classes earned $88.20 for their school, so
1.55x + 1.40y = 88.20.
You get the system of two equations:
From the first equation:
Substitute it into the second equation:
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
Answer:
Length:28 cm
Width: 13 cm
Step-by-step explanation:
Let
x ---> the length of a rectangle picture frame
y ---> the width of a rectangle picture frame
we know that
The area of a rectangle picture frame is equal to
we have
so
----> equation A
The length of a rectangle picture frame is 2 centimeters more than twice it’s width
so
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (28,13)
see the attached figure
therefore
Length:28 cm
Width: 13 cm
Each group will have the same number of boys and girls in a group. Find common factors for the number of boys and girls.
6th grade :
64 girls = 8 * 8
72 boys = 8 * 9
There will be 8 groups consisting of 8 girls and 9 boys
7th grade :
81 girls = 9 * 9
63 boys = 9 * 7
There will be 9 groups consisting of 9 girls and 7 boys
8th grade :
68 girls = 4 * 17
60 boys = 4 * 12
There will be 4 groups consisting of 17 girls and 12 boys
Let s be the scale factor then:
4s=10 and 6s=15
s=10/4 and s=15/6
s=5/2 and s=5/2
s=2.5
The scale factor is 2.5.
