Question

Pitts bought pots for $5 each and Joe bought buckets for $7 each. If they spent $1140 for 192 items, how many of each type did they buy?

Answer 1

90 buckets and 102 pots.

Step-by-step explanation:

• Let the number of pots Pitt bought = p

,

• Let the number of buckets Joe bought = b

If they bought a total of 192 items, then:

`p+b=192`

Each pot costs $5 and each bucket costs $7 each.

The total amount spent = $1,140

`\implies5p+7b=1140`

From the first equation: p=192-b

Substitute p=192-b into the second equation.

`\begin{gathered} 5p+7b=1140 \\ 5(192-b)+7b=1140 \\ 960-5b+7b=1140 \\ 2b=1140-960\implies2b=180 \\ b=180/2=90 \end{gathered}`

Next, solve for p:

`p=192-b=192-90=102`

Therefore, they bought 90 buckets and 102 pots.