Math  /  Algebra

Question7.5.IP-11 Caitlyn is tiling her kitchen wall with two types of traditional hand-painted Mexican tiles. If she uses 58 flower tiles, how many sun tiles does she need to maintain the pattern?
Flower Tiles | Sun Tiles ---|--- 30 | 15 38 | 19 42 | 21 58 | ?
She needs \boxed{} sun tiles to maintain the pattern. (Type a whole number.) Enter your answer in the answer box and then click Check Answer. All parts showing Question Help Clear All Check Answer

Studdy Solution

STEP 1

What is this asking? If Caitlyn uses 58 flower tiles, how many sun tiles does she need, given the existing pattern of flower and sun tiles? Watch out! Don't just guess a number!
We need to figure out the relationship between the flower tiles and the sun tiles.

STEP 2

1. Find the Pattern
2. Apply the Pattern

STEP 3

Alright, let's look at the relationship between the flower tiles and sun tiles!
We've got 30 flower tiles and 15 sun tiles.
Hmm, 15 is half of 30, right?
That's 15=30215 = \frac{30}{2}.

STEP 4

Let's check if this pattern holds with the next set of numbers.
We've got 38 flower tiles and 19 sun tiles.
Is 19 half of 38?
You bet it is! 19=38219 = \frac{38}{2}.

STEP 5

One more check just to be sure!
42 flower tiles and 21 sun tiles.
Is 21 half of 42? 21=42221 = \frac{42}{2}.
YES! It looks like the number of sun tiles is always half the number of flower tiles.

STEP 6

So, if Caitlyn uses 58 flower tiles, we need to find half of that number to get the number of sun tiles.

STEP 7

Let's **calculate** that: 582=29\frac{58}{2} = 29.

STEP 8

Caitlyn needs **29** sun tiles.

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