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⋄
□
⋄
□
=
20
\square \diamond \square \diamond \square \diamond \square=20
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⋄
□
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=
20
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Math Problems
Grade 6
Add, subtract, multiply, or divide two integers
Full solution
Q.
□
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□
⋄
□
⋄
□
=
20
\square \diamond \square \diamond \square \diamond \square=20
□
⋄
□
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=
20
Denote each diamond as 'x':
Let's denote each diamond as 'x'. So the equation is
3
x
=
20
3x = 20
3
x
=
20
.
Find value of one diamond:
To find the value of one diamond, divide both sides of the equation by
3
3
3
. So
x
=
20
3
x = \frac{20}{3}
x
=
3
20
.
Calculate
x
=
6.67
x = 6.67
x
=
6.67
:
Calculating the division gives us
x
=
6.666
…
x = 6.666\ldots
x
=
6.666
…
Simplify the fraction:
But wait, I made a mistake. I should have simplified the fraction.
x
=
6
x = 6
x
=
6
and
2
3
\frac{2}{3}
3
2
or approximately
6.67
6.67
6.67
.
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