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As part of Kayla's exercise program,she either runs 6miles/day or rides her bike 10 miles/day.Her new goal is to cover a minimum distance of 200 miles,with at least 15 of the days running.She would like to determine the number of days it would take to accomplish this.

Answer :

6(15) + 10b > = 200
90 + 10b > = 200
10b > = 200 - 90
10b > = 110
b > = 110/10
b > = 11

so she can do 15 days of running plus 11 days of biking....which totals 26 days

The number of days that it would take for Kayla to accomplish her new goal is 26days.

Based on the information given in the question, the equation to solve the question will be:

6(15) + 10b > 200

Open the bracket.

90 + 10b > 200

Collect like terms

10b > 200 - 90

10b > 110

Divide both side by 10

10b/10 > 110/10

b > 11

Therefore, the total number of days required will be:

= 15 days + 11 days

= 26 days.

The number of days that it would take for Kayla to accomplish her new goal is 26days.

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