Let x be the months and y be the cost.
Rate of increase of commodity A = 6/3 = $2 per month
Equation:
y = 2x + 4500
Rate of increase of commodity B = 2/4 = $0.5 per month
Equation:
y = 0.5x + 5400
Equating the costs,
2x + 4500 = 0.5x + 5400
1.5x = 900
x = 600 months
x = 600 / 12 = 50 years
Let c = # of children who bought a ticket // Let a = # of adults who bought a ticket
Since the theater company charges $8.50 for all age groups, it isn't necessary to have two different variables. The expressions that you could use are:
8.5(a + c)
8.5a + 8.5c
They both equate to the same thing, just two different ways of writing it. I hope this helps!
Let's solve your equation step-by-step.<span><span>−<span>7.5<span>(<span>x−3</span>)</span></span></span>=3.75</span>Step 1: Simplify both sides of the equation.<span><span>−<span>7.5<span>(<span>x−3</span>)</span></span></span>=3.75</span><span><span><span><span>(<span>−7.5</span>)</span><span>(x)</span></span>+<span><span>(<span>−7.5</span>)</span><span>(<span>−3</span>)</span></span></span>=3.75</span>(Distribute)<span><span><span>−<span>7.5x</span></span>+22.5</span>=3.75</span>Step 2: Subtract 22.5 from both sides.<span><span><span><span>−<span>7.5x</span></span>+22.5</span>−22.5</span>=<span>3.75−22.5</span></span><span><span>−<span>7.5x</span></span>=<span>−18.75</span></span>Step 3: Divide both sides by -7.5.<span><span><span>−<span>7.5x</span></span><span>−7.5</span></span>=<span><span>−18.75</span><span>−7.5</span></span></span><span>x=2.5</span>
Answer:
30 I suppose
Step-by-step explanation:
