<span><span>Gym A charges a new member fee of $65 and $20 per month. </span>When you see 'per' in a problem, it usually means the next word will be the variable in the equation. The next word is 'month' so use 'm' as the variable. <span>This gives you: 20m </span>Gym A doesn't charge you 65 per anything, so it is just on it's own. <span>This gives you: +65 </span>Add these parts together to get: <span>20m + 65 </span> </span>Gym B charges a new member fee of $25 and $35 per month, but Isaac will get a discount of 20% on the monthly fee. First thing's first, find 20% of 35, the monthly fee. 35 * .8 = 28 ( I got .8 because .8 = 80% which would be what price is left ) The monthly fee is 28. Monthly fees are 'per month' so it will be 'm' again. This gives you: 28m The new member fee doesn't have 'per month' so it's on it's own. This gives you: +25 Put them together and bam, 28m + 25 <span> </span>Now that you have both equations, put them on either side of an equal signs, so you can find when they are equal. 28m + 25 = 20m + 65 Solve the equation. <span> 28m + 25 = 20m + 65 </span>-20m -20m 8m + 25 = 65 -25 -25 8m = 40 /8 /8 m= 5 When the membership is 5 Months, they are equal
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