Question

Kevala sells sodas and sundaes at his food stand. One week the number of sodas he made was 4 fewer than 5 times the number of sundaes. If he made 96 sodas, how many sundaes did he make?

Answer 1

hello

let sundaes be represented by x and soda by y

on this particular week, we made sodas 4 fewer than 5 times the numbers of sundaes

let's write an equation for this

`y=5x-4`

with this equation, we can know the numbers of sundaes he made

remember that y is representing soda and x is representing sundaes

`\begin{gathered} 96=5x-4 \\ \text{solve for x} \\ \text{collect like terms} \\ 96+4=5x \\ 100=5x \\ \text{divide both sides by the coefficient of x} \\ (100)/(5)=(5x)/(5) \\ x=20 \end{gathered}`

from the calculations above, Kevala made 20 sundaes and 96 soda