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Terrell has 34 fewer sand dollars than Logan, They have 66 sand dollars together. How many sand dollars are in Terrells collection? How many sand dollars are in Logan's collection?
Select the person with moce sand dollars: Logan
Select, a label for each bar, Drag the bars to the right to draw a model that represents the scenario.

Terrell has $34$ fewer sand dollars than Logan, They have $66$ sand dollars together. How many sand dollars are in Terrells collection? How many sand dollars are in Logan's collection? $\newline$ Select the person with moce sand dollars: Logan $\newline$ Select, a label for each bar, Drag the bars to the right to draw a model that represents the scenario.

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The Central Limit Theorem

Full solution

Q. Terrell has

34

fewer sand dollars than Logan, They have

66

sand dollars together. How many sand dollars are in Terrells collection? How many sand dollars are in Logan's collection?

\newline

Select the person with moce sand dollars: Logan

\newline

Select, a label for each bar, Drag the bars to the right to draw a model that represents the scenario.

Define Variables: Let's define the number of sand dollars Terrell has as $T$ and the number Logan has as $L$ . We are given that Terrell has $34$ fewer sand dollars than Logan, which can be written as: $\newline$ $T = L - 34$
Total Sand Dollars: We also know that together they have $66$ sand dollars, which can be written as: $\newline$ $T + L = 66$
Substitute and Solve: Now we have a system of two equations: $\newline$ $1$ ) $T = L - 34$ $\newline$ $2$ ) $T + L = 66$ $\newline$ We can substitute the expression for $T$ from the first equation into the second equation to find the value of $L$ . $\newline$ $(L - 34) + L = 66$
Combine Like Terms: Combine like terms in the equation: $2L - 34 = 66$
Isolate Term: Add $34$ to both sides of the equation to isolate the term with $L$ : $\newline$ $2L - 34 + 34 = 66 + 34$ $\newline$ $2L = 100$
Solve for L: Divide both sides of the equation by $2$ to solve for L: $\newline$ $\frac{2L}{2} = \frac{100}{2}$ $\newline$ $L = 50$
Substitute Back: Now that we know the value of $L$ , we can substitute it back into the first equation to find the value of $T$ :
$T = L - 34$
$T = 50 - 34$
$T = 16$

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\newline

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\newline

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\newline

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\newline

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