To find out how many almonds Zara ate last week, we can set up an equation using the information provided.
We know that Zara ate 75 almonds this week, which is 150% of what she ate last week. Let \( x \) be the number of almonds Zara ate last week.
The equation we can set up is: \[ 150% \text{ of } x = 75 \]
In decimal form, 150% can be expressed as: \[ 150% = \frac{150}{100} = 1.5 \]
So the equation becomes: \[ 1.5x = 75 \]
To solve for \( x \), divide both sides by 1.5: \[ x = \frac{75}{1.5} \]
Calculating that gives: \[ x = 50 \]
So, Zara ate 50 almonds last week.
To complete the fill in the blanks:
- The percent written as a part-to-whole ratio is 150 to 100.
- 150 divided by 150 is equal to 75 (since we had to equate 150% to the actual almonds).
- 100 divided by 75 is equal to 0.75.
Thus, Zara ate 50 almonds last week.
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