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3 years ago

Can someone help me with this

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

Day 1 =8

Day 2 = 12

Day 3 = 18

Day 4 = 27

Step-by-step explanation:

Let x be how far he rode on the first day

He rode 1.5 times how far he rode on the first day on the second day

1.5 x is how far he rode on the second day

He rode 1.5 times how far he rode on the second day on the third day

1.5(1.5 x) is how far he rode on the third day

2.25x

He rode 1.5 times how far he rode on the third day on the fourth day

1.5(2.25x) is how far he rode on the fourth day

3.375x

He needs to ride a total of 65 miles

day 1 + day 2 + day3 + day 4 = 65 miles

x + 1.5x + 2.25x + 3.375x = 65

Combine like terms

8.125x = 65

Divide each side by 8.125

8.125x/8.125 = 65/8.125

x=8

He needs to start with 8 miles on the first day

x=8

1.5x = 12

2.25x =18

3.375x =27

Day 1 =8

Day 2 = 12

Day 3 = 18

Day 4 = 27

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