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Equation Word Problems (Harder)

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Equation Word Problems (Harder) 1

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Question 1 of 2

$4$ T-shirts and

$5$ hats cost

$$92$ altogether. If a T-shirt costs

$$5$ more than a hat, find the cost of each item.

T-shirt $=$$ (13)

Hat $=$$ (8)

Keywords for Word Problems
Keyword	Meaning
Certain number	Unknown variable ( $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$
sum, and, plus, more than	$+$
subtracted, less, minus	$-$
times, product, multiplied, twice	$times$
half of, divide by	$divide$

Question 2 of 2

The cost of two different cereal boxes differs by

$$1.10$ . If their total cost is

$$8.90$ , what is the cost of the more expensive cereal box?

$$$ (5)

$9$ $x$ $-25$	$=$	$92$
$9$ $x$ $-25$ $+25$	$=$	$92$ $+25$
$9$ $x$	$=$	$117$	$-25+25$ cancels out

$9$ $x$	$=$	$117$
$9$ $x$ $divide9$	$=$	$117$ $divide9$
$x$	$=$	$13$	$9divide9$ cancels out

$x+x-110$	$=$	$890$
$2x-110$	$=$	$890$

$2x-110$	$=$	$890$
$2x-110$ $+110$	$=$	$890$ $+110$
$2$ $x$	$=$	$1000$	$-110+110$ cancels out

$2$ $x$	$=$	$1000$
$2$ $x$ $divide2$	$=$	$1000$ $divide2$
$x$	$=$	$500¢$	$2divide2$ cancels out
$x$	$=$	$$5$	Convert unit to dollars

Equation Word Problems (Harder) 1

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Quiz summary

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1. Question

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Well Done!

Inverse Operations

2. Question

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Inverse Operations

Quizzes

$4$ $x$ $+$ $5$ $($ $x$ $-5)$	$=$	$92$
$4$ $x$ $+$ $5$ $x$ $-$ $5$ $(5)$	$=$	$92$
$4$ $x$ $+5$ $x$ $-25$	$=$	$92$
$9$ $x$ $-25$	$=$	$92$

The more expensive cereal	and	the cheaper cereal	cost	$$8.90$
$x$	$+$	$x-110$	$=$	$890$

Hat	$=$	$x$ $-5$
	$=$	$13$ $-5$
	$=$	$$8$