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Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He currently does 25 pushups. If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now

Respuesta :

frika

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

Currently:

Number of pushups = 25

Number of squats = x

Total number = 25 + x

After increase:

Number of pishups [tex]=25\cdot (1+0.2)=1.2\cdot 25=30[/tex]

Number of squats [tex]=x\cdot (1+0.2)=1.2x[/tex]

Total number [tex]=30+1.2x[/tex]

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

[tex](30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40[/tex]