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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

$4$ T-shirts and

5

$5$ hats cost

$ 92

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

$ 5

$$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 ( $x, y, z,$ $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$ $=$
sum, and, plus, more than	$+$ $+$
subtracted, less, minus	$-$ $-$
times, product, multiplied, twice	$\times$ $times$
half of, divide by	$\div$ $divide$

Question 2 of 2

The cost of two different cereal boxes differs by

$ 1.10

$$1.10$ . If their total cost is

$ 8.90

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

$$$ $$$ (5)

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

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

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

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

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

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

Hint

Good Job!

Inverse Operations

Quizzes

$4$ $4$ T-shirts	and	$5$ $5$ Hats	cost	$$ 92$ $$92$
$4 x$ $4x$	$+$ $+$	$5 (x - 5)$ $5(x-5)$	$=$ $=$	$92$ $92$

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

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

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