Respuesta :
Question;
A store sells boxes of juice is equal size packs. Garth bought 18 boxes, Rico bought 36 boxes and Mia bought 45 boxes.
1. What is the greatest number of boxes in each pack?
2. How many packs did each person buy if each box contained the greatest number of boxes?
Answer:
The answers to the questions are;
1. The greatest number of boxes in each pack is 9 boxes.
2. Garth bought 2 packs
Rico bought 4 packs and
Mia bought 5 packs
Step-by-step explanation:
1. Here we are required to find the Highest Common Factor, H. C. F of 18, 36 an 45
So we have [tex]\frac{18}{18} , \frac{36}{18} , \frac{45}{18}[/tex] which gives 1, 2, and [tex]\frac{5}{2}[/tex]
We therefore multiply the fractions again by 2 to get
[tex]2*\frac{18}{18} , 2*\frac{36}{18} , 2*\frac{45}{18}[/tex] which gives [tex]\frac{18}{9} , \frac{36}{9} , \frac{45}{9}[/tex] = 2, 4, 5
Therefore 9 is the H. C. F which is the greatest number of boxes in each pack
That is the greatest number of boxes in each pack is 9
2. The number of packs each of them bought is given by
Garth bought 18 boxes with 9 boxes per pack = 18/9 or 2 packs of juice
Rico bought 36 boxes with 9 boxes per pack = 36/9 or 4 packs of juice
Mia bought 45 boxes with 9 boxes per pack = 45/9 or 5 packs of juice
