Solve problems involving the calculation and conversion of units of measure 5 - Reasoning
Maths Resource Description
To determine the total weight of 45 bags of £1 pound coins, we must first calculate the weight of a single bag. Since each coin weighs 8.75 grams and there are 20 coins in a bag, one bag would weigh 8.75 grams x 20 coins = 175 grams. To find the weight of 45 bags, we multiply the weight of one bag by the number of bags: 175 grams x 45 bags = 7875 grams. To convert this to kilograms, we divide by 1000 (since there are 1000 grams in a kilogram), resulting in 7.875 kilograms. Therefore, the total weight of 45 bags of coins is 7.875 kg.
Zach has a total of 1.4 kilograms of coins. To find out how many bags this equates to, we need to convert the kilograms back to grams. 1.4 kg is equal to 1400 grams (since 1 kg = 1000 grams). We then divide this number by the weight of one bag, which is 175 grams. So, 1400 grams divided by 175 grams per bag equals 8 bags. Thus, Zach has 8 bags of coins.