Practice: Unit Rates for Ratios with fractions - Quir - LevelG (1) Shyla's research shows that 8 empty cans make \( \frac{1}{4} \) pound of aluminum. Shyla wants to know how many cans it takes to make 5 pounds of aluminum. 4) How many cans are there per pound of aluminum? ? can(s) per pound of aluminum
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To determine how many cans there are per pound of aluminum, you can start by finding out how many cans correspond to 1 pound. Since 8 empty cans equal \( \frac{1}{4} \) pound, you can multiply both sides of the equation by 4 to find the cans per pound: \( 8 \text{ cans} \times 4 = 32 \text{ cans per pound}. \) So, for every pound of aluminum, you'll need 32 cans. Next, to find out how many cans are needed for 5 pounds of aluminum, simply multiply the number of cans per pound by 5: \( 32 \text{ cans/pound} \times 5 \text{ pounds} = 160 \text{ cans}. \) Therefore, Shyla would need 160 empty cans to make 5 pounds of aluminum.
