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sydney has a $75 mall gift card. she wants to buy a sundress and a movie ticket. the movie ticket with tax costs $11.50. the sales tax on the sundress will be 4%. how much can the ticketed price of the sundress be

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texaschic101
11.50 + 1.04x < = 75
1.04x < = 75 - 11.50
1.04x < = 63.50
x < = 63.50/1,04
x < = 61.06.....the dress would have to be less then or equal to 61.06
JeanaShupp

Answer: $61.06

Step-by-step explanation:

Let the price of sundress be 'x' .

Given : Sydney has a $75 mall gift card.

She wants to buy a sundress and a movie ticket.

The movie ticket with tax costs = $11.50.

The sales tax percentage on sundress = 4%=0.04

Then , the total cost of sundress including the tax will be :-

[tex]x+0.04x=x(1+0.04)=1.04x[/tex]

Since, the limit of purchase is $75, so we have the following equation:-

[tex]11.50+1.04x\leq75\\\\\Rightarrow\ 1.04x\leq 63.5\\\\\Rightarrow\ x=\dfrac{63.5}{1.04}=61.0576923077\approx61.06[/tex]

Hence, the price of ticket = $61.06

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