Question

1. a 15³₄ inch board is curt from a 36 ¹₄ inch board. The saw cut takes 3₈ inch. How much of the 36 ¹₄ inch board is left after cutting? Simplfiy your answer. type an interger simplified fraction, or mixed number. There are ___ inches left after cutting.

2. a dress is on sale for $176. what was the orginial price of the dress if the discount was ¹₅ of the orginial price? the originial price of the dress was $____.

3.Al saves pennies. he agreed to give ³₇ of his pennies to bev is she would give ³₇ of what she got from al to carl and if carl in turn would give ³₇ of what he got from bev to dani, bev, carl and dani agreed and dani received 351 pennies. How many pennies did Al have intially? Al had _____pennies intially.

Answer 1

1.Given, Board size = 3614 inch

Size of board after cutting = 3614 - 1534 - 38 = 2042 inch

2. Price of dress after discount = $176

Let, original price of dress = x

Formula for calculating price after discount

P_d = { P_o × ( 100 - d ) } ÷ 100

Here, P_d = price after discount = $176

P_o = original price = x

d = discount = 15

Putting values in the formula we get

176 = { x × ( 100 - 15 ) } ÷ 100

x = $207.06

3. Let, Total number of pennies Al have = x

Number of pennies bev got from al = x × 0.37 = 0.37x

Number of pennies carl got from bev = 0.37 × 0.37x = 0.1369x

Number of pennies dani got from carl = 0.37 × 0.1369x = 0.050653x

Given, number of pennies Danny received = 351

So,

0.050653x = 351

x = number of pennies Al have = 351 ÷ 0.050653 = 6929.50 = 6930 ( approx )