In your home you can make and paint 17 small planters in 5 days or 12 large planters in five days. You received an order for 50 small planters and 24 large ones. About how many days to make them all and paint them all.

so you can use proportions for this. Since 17 small planters can be made in 5 days you would put 5 Days under 17 SP (Sp = small planters) Then you would do 17 times x which equals 17x and 5 times 50 which equals 250. you would then divide them by each other . 250 divided by 17 is a bunch of numbers but to shorten it you can just put 14.705 or 15 if you round it.

17sp 50

----------------- 250/17 = x =14.705

5D x

you would then do the same to the other Large planters.

12LP 24. 120/12 = x = 10

-------------

5D. x

the question is how many days to make them ALL. so you would then add 10 + 14.705 which equals 24.705. then you can round that to 25 DAYS.

HeathAtticus HeathAtticus · Answer 2 · 2020-01-16T07:11:38+01:00

Answer:

25 Days

Step-by-step explanation:

First, I figured out the rate per day of each size to be completed:

Small Planters: 17/5 = 3.4 can be completed in 1 day.

Large Planters: 12/5 = 2.4 can be completed in 1 day.

Second we take the order and create an equation with our new found per day rates:

I am going to use T =total time

T= (50/3.4) + (24/2.4)

Remember the rules of PEMDAS applies here, so division within the parenthesis have to be done first.

T= 14.705 + 10

Finally our answer is:

T= 24.705 or ~ 25