Iron Man made a total of 21 gadgets and masks for $3 340. It cost him $190 to make each gadget and $140 to make each mask.How many masks did he make?
Question
Iron Man made a total of 21 gadgets and masks for $3,340.
It cost him 140 to make each mask.
How many masks did he make?
Solution
Let's denote the number of gadgets as G and the number of masks as M.
From the problem, we know two things:
-
G + M = 21 (Iron Man made a total of 21 gadgets and masks)
-
190G + 140M = 3340 (It cost him 140 to make each mask)
We can solve this system of equations step by step:
Step 1: Multiply the first equation by 140: 140G + 140M = 2940
Step 2: Subtract the new equation from the second equation: 190G + 140M - (140G + 140M) = 3340 - 2940
This simplifies to: 50G = 400
Step 3: Solve for G: G = 400 / 50 = 8
Step 4: Substitute G = 8 into the first equation: 8 + M = 21
Step 5: Solve for M: M = 21 - 8 = 13
So, Iron Man made 13 masks.
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