Answer:
maya - 6 min per puzzle
amy - 7 min per puzzle
maya would finish first since her unit rate is smaller. for example, it takes maya 30 for 5 but it would take 35 for 5.
Step-by-step explanation:
Let the number be xy ,
xy = 10x + y. when reversed = yx = 10y + x
x = 2y ........(a)
10x + y + 10y + x = 66.........(b)
10(2y) + y + 10y + 2y = 66
20y + y + 10y + 2y = 66
33y = 66
y = 66/33
y = 2
x = 2y = 2*2 = 4
Recall the original number is xy = 42.
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
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Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
