Math  /  Numbers & Operations

Question35. A seamstress made five dresses using 8 yd . of trim. Find the rate of trim per dress.
36. A farmer took five loads of wheat to the elevator and was credited with 1,060bu1,060 \mathrm{bu} number of bushels per load?

Studdy Solution

STEP 1

1. For problem 35, the seamstress used a total of 8 yards of trim for 5 dresses.
2. For problem 36, the farmer took 5 loads of wheat, and the total bushels credited were 1,060.
3. We need to find the rate of trim per dress in problem 35.
4. We need to find the number of bushels per load in problem 36.

_HIGH_LEVEL_APPROACH_ for Problem 35:
1. Define the variable.
2. Set up the equation for the rate.
3. Solve the equation.

_HIGH_LEVEL_APPROACH_ for Problem 36:
1. Define the variable.
2. Set up the equation for the number of bushels per load.
3. Solve the equation.

**Problem 35:**

STEP 2

STEP 3

Let r r be the rate of trim per dress.

STEP 4

Set up the equation for the rate of trim per dress.
r=Total yards of trimNumber of dressesr = \frac{\text{Total yards of trim}}{\text{Number of dresses}} r=8 yd5 dressesr = \frac{8 \text{ yd}}{5 \text{ dresses}}

STEP 5

Calculate the rate of trim per dress.
r=85=1.6 yd/dressr = \frac{8}{5} = 1.6 \text{ yd/dress}
The rate of trim per dress is:
1.6 yd/dress\boxed{1.6 \text{ yd/dress}}
**Problem 36:**
STEP_1: Let b b be the number of bushels per load.
STEP_2: Set up the equation for the number of bushels per load.
b=Total bushels creditedNumber of loadsb = \frac{\text{Total bushels credited}}{\text{Number of loads}} b=1060 bu5 loadsb = \frac{1060 \text{ bu}}{5 \text{ loads}}
STEP_3: Calculate the number of bushels per load.
b=10605=212 bu/loadb = \frac{1060}{5} = 212 \text{ bu/load}
The number of bushels per load is:
212 bu/load\boxed{212 \text{ bu/load}}

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