James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have? Show working out!!

10 cent coins = 43

Step-by-step explanation:

x = 10 cent coins

y = 5 cent coins

x + y = 157, then y = 157 - x

$10 = 1000 cents

0.10x + 0.05y =1000

substitute for y:

0.10x + 0.05(157 - x) = 1000

0.10x + 7.85 - 0.05x = 1000

combine like terms:

0.05x = 2.15

x = 43

y = 114

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

360/29

step-by-step explanation: