A pack of cardinal flower seeds costs $4 and a pack of petunia flower seeds costs $2.50, You buy the same number of packs of each type of flower and spend $39. How many packs of each do you buy?

Question

Kennedy Adams · Accepted Answer

I buy #6# packs of each type of seeds.

I buy the same number of packs of each type of seeds I buy #x# packs of each type of seeds. Then - #(x xx 4)+x xx 2.50)=$39# #4x+2.5x=39# #6.5x=39# #x=39/6.5=6# packs

Ethan Adkins · Answer

undefined Let's denote the number of packs of cardinal flower seeds as $x$ and the number of packs of petunia flower seeds as $y$. Since you buy the same number of packs of each type of flower, we have $x = y$.

The total cost of buying $x$ packs of cardinal flower seeds at $4 per pack and $y$ packs of petunia flower seeds at $2.50 per pack is $39. Therefore, we can write the equation:

$$4x + 2.50y = 39$$

Since $x = y$, we can substitute $x$ for $y$ in the equation:

$$4x + 2.50x = 39$$

Solving for $x$:

$$6.50x = 39$$
$$x = \frac{39}{6.50}$$
$$x = 6$$

Since $x = y$, you buy 6 packs of cardinal flower seeds and 6 packs of petunia flower seeds.