Given:
Tyler wants to increase the number of each type of exercise by 20% by the end of the month.
Current number of pushups = 25
Total more squats and pushups than he does now = 13
To find:
The equation to show how many squats, x, Tyler does now.
Solution:
Let x be the number of squats Tyler does now.
Each type of exercise increased by 20% by the end of the month.
Current number pushups = 25
Increased number of pushups is 20% of 25.
[tex]\dfrac{20}{100}\times 25=5[/tex]
Increased number of squats is 20% of x.
[tex]\dfrac{20}{100}\times x=\dfrac{x}{5}[/tex]
If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now.
[tex]\dfrac{20}{100}\times 25+\dfrac{20}{100}\times x=13[/tex]
[tex]5+\dfrac{x}{5}=13[/tex]
[tex]\dfrac{25+x}{5}=13[/tex]
Multiply both sides by 5.
[tex]25+x=65[/tex]
Subtract 25 from both sides.
[tex]x=65-25[/tex]
[tex]x=40[/tex]
Therefore, required equation is [tex]\dfrac{20}{100}\times 25+\dfrac{20}{100}\times x=13[/tex] and the number of current squats is 40.
