Answer:
Number of screws = 50
Number of hammers = 10
Step-by-step explanation:
Part A)
The ratio of nails to screws is 3 to 5.
Sum of the ratio of nail to screw is 3+5 = 8
Let the sum of screws and nails be x.
There are 30 nails. Therefore,
x = 30 nails + n screws
To calculate the total number of screws and nails,
3/8 × total number of screw and nails
= number of nails.
3/8 × x = 30
3x/8 = 30
3x = 8 × 30 = 240
x = 240/3 = 80
Sum of nails and screws = number of nails + number of screws, n
x = 30+ n
80 = 30 + n
n = 80 - 30 = 50
Number of screws = 50
Part B)
The ratio of screws to hammers is 10 to 2.
Sum of the ratio of screw to hammer is 10+2 = 12
Number of screws = 50
Let the sum of screws and hammer be y
y = 50 screws + h hammers
To calculate the total number of screws and hammers,
10/12 × total number of screw and hammers = number of screws.
10/12× y= 50
10y/12= 50
10y = 12 × 50= 600
y = 600/10= 60
Sum of screws and hammers = number of screws + number of hammers,h
y = 50 + h
60 = 50 + h
h = 60 - 50 = 10
Number of hammers = 10
