three friends earned more than $200 washing cars. they paid their parents $28 for supplies and divided the rest of money equally . write an inequality to find possible amounts each friend earned. identify what your variable represents.
2 answers:
Let the original amount they earned be x. They earned more than $200, therefore x > 200 They paid their parents $28, assuming all the parents got $28 So we remove 28 from both sides of the inequality x -28> 200-28 Let y be the amount left after paying their parents, and replace (x -28) with y in the inequality above. y> 200-28 y> 172 Amount each got, divide both sides of the inequality by 3. y/3 > 172/3 Let amount each got after dividing equally be z, replace (y/3) with z in the inequality above z > 172/3 z > 57.33 Each got more than $57.33
28x+86≤200 because for supplies they divide the rest of money. that means, 200-28=172 so 172/2=86 now we gonna find the value of x. 28x+86≤200 i am gonna subtract 86 both of side 28x+86-86≤200-86 to get value of x. 28x≤114 divide 28 both of side to get value of x so it will be x≤4
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