Question

Pasta Machine A pasta machine cost \(33. The ingredients to make one batch of pasta cost \).33. The same amount of pasta purchased at a store costs $.99. How many batches of pasta will you have to make for the cost of machine and ingredients to equal the cost of buying the same amount of pasta at the store?

Short answer

The number of pasta batches is 50.

Step-by-step solution

Step-1 – Given

The cost of pasta machine = $33

The cost of ingredients to make 1 batch of pasta = $0.33

The cost of pasta at the store = $0.99

Step-2 – To determine

We have to find the number of batches of pasta that can be made.

Step-3 – Calculation

Let x = the number of batches of pasta

So the equation is: $33+0.33x=0.99x$

Then we solve the equation

$\begin{array}{l}33+0.33x=0.99x\text{writetheequation}\\ \text{33}+0.33x-0.33x=0.99x-0.33x\text{subtract0.33xfrombothsides}\\ \text{33}=0.66x\text{simplify}\\ \frac{33}{0.66}=\frac{0.66x}{0.66}\text{divideeachsideby0.66}\\ x=50\text{simplify}\end{array}$

Hence, 50 batches must be made for the cost to be equal in both of the cases.