Let's assume that Antonio and Candice each had $x to spend at the Artist Emporium.
Antonio spent $35 on a large paint set, leaving him with x - 35 to spend on small canvases.
Since he was able to buy 4 small canvases with the rest of his money, each small canvas cost (x - 35)/4.
Candice, on the other hand, spent $24 on a small paint set, leaving her with x - 24 to spend on small canvases.
Since she was able to buy 6 small canvases with the rest of her money, each small canvas cost (x - 24)/6.
We know that both Antonio and Candice spent all their money, so we can set up the following equations:
(x - 35) + 4 * (x - 35)/4 = x
(x - 24) + 6 * (x - 24)/6 = x
Simplifying these equations gives us:
x - 35 + x - 35 = x
x - 24 + x - 24 = x
Combining like terms:
2x - 70 = x
2x - 48 = x
Subtracting x from both sides:
x - 70 = 0
x - 48 = 0
Adding 70 to both sides:
x = 70
x = 48
Since Antonio and Candice had the same amount of money, the only valid solution is x = 70.
Therefore, Antonio and Candice each had $70 to spend at the Artist Emporium.
Antonio and Candice had the same amount of money to spend at the Artist Emporium. Antonio paid $35 for a large paint set and was able to buy 4 small canvases with the rest of his money. Candice paid $24 for a small paint set and was able to buy 6 small canvases. Both Antonio and Candice ended up spending all their money.
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