Lina ivs going to plant 63 tomato plants and 81 cabbage plants. Lina would like to plant the plants in rows where each row has the same number of tomato plants and cabbage plants. What is the greatest number of rows Lina can plant? Just write the number. *
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12. Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50. A few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store. What is the least possible number of times that Mariam has been to the store? Just write the number. *
Answers
Given : Lina is going to plant 63 tomato plants and 81 cabbage plants.
Lina would like to plant the plants in rows where each row has the same number of tomato plants and cabbage plants.
To Find : What is the greatest number of rows Lina can plant
Solution:
To get the greatest number of rows Lina can plant she should plant 1 tomato / 1 cabbage in each row
Hence greatest number of rows = 63 + 81 = 144
To find Least number of rows : or greatest plant in a row.
need to find first HCF of 63 and 81
63 = 7 * 9 , 81 = 9 * 9
Hence 9 plants in a row
9 plants in a row is greatest
Number of rows = 63/9 + 81/9 = 7 + 9 = 16
Least number of rows : = 16
Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50
LCM of 30 and 50 = 150
least possible number of times that Mariam has been to the store = 150/30 = 5
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