Please lend a helping hand!

Mrs. Scott decided that she would spend no more than $120 to buy a coat and a dress. If the price of the coat was $20 more than 3 times the price of the dress, find the highest possible price of the dress.

The price of the coat could be x, and the price of the dress could be y.
Then, find a system of inequalities.

x + y < or equal to 120
and
x = 20 + 3y
You can now use the substitution method to first find y.
(20 + 3y) + y < or equal to 120
20 + 4y < or equal to 120
subtract 20 from both sides.
4y< or equal to 100
divide by 4.

So y < or equal to 25. You can plug it back into the equations to check:)

so first of all, the inequality sign for this situation is less than or equal to 120 because she want to spend no more than $120. next is the other side of the inequality. it is 3x + 20 because the coat is three times the price of the dress and then 20 more. Subtract 20 from both sides and you get 3x is less than or equal to 100. Divide by 3 on both sides ( do not flip the sign because it is not a negative) the conclusion is 100 over 3 or 33.3333333333333333333...( you get the idea) that becomes $33.33 dollars because money only goes to hundreths.I hope this helped

Hi guest,

Thank you for answering; it's great when people help out:)
However, there is one little detail I think you missed.
120 is the cost of both the coat and dress, so there would be 4x, not 3x.
But good job explaining why it is less than/ equal to 120.