Math  /  Numbers & Operations

Question9. (-) MP.1 Make Sense and Persevere The home team had 4 three-pointers, 10 two-pointers, and 6 free throws. The visiting team scored 5 three-pointers, 8 two-pointers, and 5 free throws. Which team scored more points? Explain.

Studdy Solution

STEP 1

What is this asking? Which team got a higher score in basketball, considering their 3-pointers, 2-pointers, and free throws? Watch out! Don't forget that free throws are worth one point each!

STEP 2

1. Calculate Home Team Score
2. Calculate Visiting Team Score
3. Compare Scores

STEP 3

Alright, let's **calculate the home team's score**!
They had **4 three-pointers**, so that's 43=124 \cdot 3 = 12 points.
Remember, each three-pointer is worth **3 points**!

STEP 4

Next, they scored **10 two-pointers**, which gives us 102=2010 \cdot 2 = 20 points.
Each two-pointer is worth, you guessed it, **2 points**!

STEP 5

Finally, they had **6 free throws**, each worth **1 point**.
So that's 61=66 \cdot 1 = 6 points from free throws.

STEP 6

Now, let's add everything up: 12+20+6=3812 + 20 + 6 = 38.
The **home team scored 38 points**!

STEP 7

Time to **calculate the visiting team's score**!
They got **5 three-pointers**, giving them 53=155 \cdot 3 = 15 points.

STEP 8

They also had **8 two-pointers**, which is 82=168 \cdot 2 = 16 points.

STEP 9

And they made **5 free throws**, for a total of 51=55 \cdot 1 = 5 points from free throws.

STEP 10

Adding it all together: 15+16+5=3615 + 16 + 5 = 36.
The **visiting team scored 36 points**!

STEP 11

The **home team scored 38 points**, and the **visiting team scored 36 points**.
Since 38>3638 > 36, the **home team scored more points**!

STEP 12

The home team scored more points.

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