Tobias brought some money out for shopping to prepare for his backpack travelling this December. He spent 3/7 of his money on a backpack and 2/3 of the remaining amount of money on 3 identical purification bottles. He spent the rest of his money on 3 travel first aid kits. The cost of a purification bottle is $14.80 more than the cost of each first aid kit. How much money did Tobias spend on the backpack and purification bottles altogether?

Guest Aug 3, 2023

#1**+3 **

Call the total amount of money that he has at first = M

The backpack costs (3/7)M

The amount that remains = (4/7)M

(2/3) of this = (2/3)(4/7)M = (8/21)M = money spent on purification bottles

Money spent of first aid kits = (M - 3/7 M - 8/21 M ) = (4/21)M

Note that the total difference between the cost of the purification bottles and the first aid kits = 3 (14.80)

So

(8/21)M - (4/21) M = 3 (14.80)

(4/21)M = 44.40

M = 44.4 *(21/4) ≈ $233.10

Amt spent on backpack ≈ (3/7)(233.10) ≈ $99.90

Amt spent on purification bottles = (8/21)(233.10) ≈ $88.80

CPhill Aug 3, 2023