Solvethe equation 3(x-5)/2=2(x+5)/3

2 answers:

6 0

3(x−5)/2=2(x+5)/3

Cross-multiply.

(3(x−5))/2=(2(x+5))/3

3(x−5)*(3)=2(x+5)*(2)

9x−45=4x+20

Subtract 4x from both sides.

9x−45−4x=4x+20−4x

5x−45=20

Add 45 to both sides.

5x−45+45=20+45

5x=65

Divide both sides by 5.

5x/5=65/5

x=13

pickupchik [31]3 years ago

4 0

$\dfrac{3(x-5)}{2}=\dfrac{2(x+5)}{3}\\
2\cdot2(x+5)=3\cdot3(x-5)\\
4x+20=9x-45\\
9x-4x=20+45\\
5x=65\\
x=13$

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Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl

ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be $\frac{3}{7}x$ .

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be $\frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x$ .

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be $\frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x$ .