Final answer:
After converting 90 feet to meters, we find that James needs a total of 27.44 meters of lights. Dividing this by the 4 meters per pack of the lights he wishes to purchase, we conclude he needs to round up to 7 packs of lights to cover his patio.
Step-by-step explanation:
The question is how many packs of lights James will need to cover a 90 feet patio with strings of lights sold in packs of 4 meters each. To solve this, first we convert the feet to meters to match the unit of the product he wants to purchase. Since 1 meter is approximately 3.28 feet, we divide 90 feet by 3.28 feet per meter.
90 feet / 3.28 feet/meter = 27.44 meters
Now, since the lights are sold in packs of 4 meters each, we divide 27.44 meters by 4 meters per pack to determine the number of packs he needs:
27.44 meters / 4 meters/pack = 6.86 packs
Since James cannot buy a fraction of a pack, he will need to round up to the nearest whole number. Therefore, James will need 7 packs of lights for his patio.