Question: Jake has a summer job as a photographer at an amusement park. He wants to save $3500 . He must choose whether to sell large photos or small photos. For each photo, he will earn the amounts shown in the table. How many of each kind of photo will he need to sell to reach his goal of $3500 ?
Answer: With the added information from the comments, Small Photos cost $12 and Large Photos cost $15.
We want to figure out how many photos of each size Jake will need to earn a total of $3500.
To figure out how many Small Photos Jake needs to sell, you can divide the amount he wants to save by the cost of the small photos:
On my calculator, 3500÷12 equals roughly 291.6666667. Realistically that number doesn't make sense in this context, so it's safe to round that to the nearest whole number, which would be 292. Selling 292 small photos will earn Jake $3504. It's okay that he's earned more than he wanted to save because it's safer to earn more instead of not earning the amount he needs. If we decided to stick with 291 small photos, Jake would have only earned $3492, which isn't enough.
In conclusion, Jake will need to sell 292 small photos.
To figure out how many Large Photos Jake needs to sell, the process is the same for the Small Photos. Again, you divide the amount Jake needs to save by the cost of the Large Photos:
3500÷15= 233.3333333 ... the threes keep repeating. As mentioned before, this number realistically doesn't make sense, so we must round again to the next whole number. That would be 234 Large Photos. By selling 234 Large Photos Jake will earn $3510 instead of $3495 if he had only sold 233 Large Photos.
(Hope this helps :). Please let me know if there's any confusion in my explanation)
