Question

apply: building towers during indoor recess, jace and his two friends each built a tower with blocks. jace noticed that carter’s tower was 1 ½ times as tall as his tower and gunner’s tower was ¾ as tall as his tower. which tower belongs to each friend? how do you know which tower belongs to each friend? tower a tower b tower c

Explanation:

Step1: Count blocks in each tower

Tower A: 3 blocks, Tower B: 4 blocks, Tower C: 6 blocks.

Step2: Analyze the relationships

Let Jace's tower height be \( x \). Carter’s tower is \( 1\frac{1}{2}x=\frac{3}{2}x \), Gunner’s is \( \frac{3}{4}x \).

• If Jace’s tower is Tower B (4 blocks):
• Carter’s tower: \( \frac{3}{2} \times 4 = 6 \) blocks (Tower C).
• Gunner’s tower: \( \frac{3}{4} \times 4 = 3 \) blocks (Tower A).

This matches the block counts.

Answer:

Jace’s tower is Tower B, Carter’s tower is Tower C (since \( 1\frac{1}{2} \times 4 = 6 \)), and Gunner’s tower is Tower A (since \( \frac{3}{4} \times 4 = 3 \)). We know this by relating the fractional multipliers to the block counts of each tower.