QuestionFiona bought some socks that cost for each pair and some belts that cost each. Fiona spent in all. Let represent the number of pairs of socks purchased and the number of belts purchased.
Which equation models the situation?
Studdy Solution
STEP 1
What is this asking?
We need to figure out which equation represents the total cost of socks and belts Fiona bought, knowing the price of each item and the total amount she spent.
Watch out!
Don't mix up the prices of the socks and belts in the equation!
Also, remember we're dealing with *total* cost, so multiplication is key!
STEP 2
1. Define variables and costs
2. Build the equation
STEP 3
Let's **define** what we know! is the **number of pairs of socks** Fiona bought, and each pair costs .
So, the **total cost** of socks is .
STEP 4
Fiona also bought **belts**, and each belt costs .
Therefore, the **total cost** of belts is .
STEP 5
We know Fiona spent a **total** of on *both* socks and belts.
This means the **total cost** of socks *plus* the **total cost** of belts *equals* .
STEP 6
Let's put it all together!
We have for the **total cost** of socks and for the **total cost** of belts.
Adding these together gives us the **total amount** Fiona spent: .
STEP 7
The equation that models this situation is .
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