Ventamo has 72 jars of strawberry jam, and 32 jars of raspberry jam. He wants to place the jam into the greatest possible number of boxes so that each box has the same number of jars of each kind of jam. How many boxes does he need?

8 boxes

Step-by-step explanation:

Start with a proportion

32/72

reduce

4/9

so now

4 jars of raspberry and 9 strawberry times 8 for the total number

so

8 boxes

153

Step-by-step explanation:

Box 1:

180 = 124 + (5x + 11)

56 = 5x + 11

45 = 5x

x = 9

Box 2:

RT = QS

x + 9 = 2x - 5

x = 14

Box 3:

14x - 3 = 18x -19

16 = 4x

x = 4

Box 4:

180 = (9x - 8) + (7x - 4)

180 = 16x - 12

192 = 16x

x = 12

Box 5:

(6x + 34) = (12x - 8)

42 = 6x

x = 7

Box 6:

45 = 7x - 25

70 = 7x

x = 10

Box 7:

54 - x = 3x - 10

64 = 4x

x = 16

Box 8:

12x + 1 = 9x + 16

3x = 15

x = 5

Box 9:

3x + 2x - 5 = 90

5x - 5 = 90

5x = 85

x = 17

Final Code:

(9)(17) = 153