Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
cost of pencil = x = 0.07
and cost of eraser = y = 0.03
Step-by-step explanation:
let cost of pencil = x
and cost of eraser = y
So, we have equations:

Solving both equations to find value of x and y
Let:

Multiply eq(1) with 4 and eq(2) with 3 and subtract

Putting value of x in equation 1:

So, x= 0.07 and y = 0.03
cost of pencil = x = 0.07
and cost of eraser = y = 0.03
Keywords: System of equations
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Just take the answer of the subtraction problem and add it to the other number for an answer Example h-7=14 14 + 7=21 h=7
Answer: 35 gold beads and 15 non-gold beads
Step-by-step explanation:
70% of 50
.70×50 = 35
50 - 35 = 15