Math money and weight questions

Question

1) Tammy, the owner of a grocery store, ordered nine crates of apples from a local farm. Eight of the crates weigh 21 lbs each, and the ninth one weighs 12 lb. What is the total cost of the order if one pound of apples costs $1.19?

2) Shivani bought 2 kg of pine nuts for $65.89 per kg and 2 kg of cashews for $24.50 per kg.  She gave the cashier $200 in cash.  What should Shivani get back in change?

3) Seven freight trains travelling from Vancouver to Ottawa each carry 19 tonnes of iron bars followed by a single freight train carrying 21 tonnes. What is the cost, to the nearest cent, of the whole shipment, at $44.25 per tonne?

4) A diesel flatbed truck is used to transport carbon steel rods from Hamilton to Calgary for a construction company. The truck weighs 17,888.99 lb with no load.  However, with a full load of carbon steel rods, the truck weighs 36,520.01 lb.   What is the weight of the carbon steel rods?

Answer 1

1) Tammy, the owner of a grocery store, ordered nine crates of apples from a local farm. Eight of the crates weigh 21 lbs each, and the ninth one weighs 12 lb. What is the total cost of the order if one pound of apples costs $1.19?

We can set this up in steps. We can figure out the total weight by multiplying 8 times 21, and then adding 12 to that answer to account for the 9th crate. Once we have the total number of pounds, multiply that number by the cost per pound ($1.19).

2) Shivani bought 2 kg of pine nuts for $65.89 per kg and 2 kg of cashews for $24.50 per kg. She gave the cashier $200 in cash. What should Shivani get back in change?

To figure out this problem, multiply the total amount of each item by the price per kg of each item. So you would multiply 65.89 by 2 and you would multiply 24.50 by 2. once you have these numbers, add them up to get the total cost. Subtract that number from the amount paid (200) to figure out how much change she should get back.

3) Seven freight trains traveling from Vancouver to Ottawa each carry 19 tonnes of iron bars followed by a single freight train carrying 21 tonnes. What is the cost, to the nearest cent, of the whole shipment, at $44.25 per tonne?

This can be figured out similar to #1 above. Figure out how many tonnes are being carried altogether, and divide that answer by $44.25 to figure out the unit price.

4) A diesel flatbed truck is used to transport carbon steel rods from Hamilton to Calgary for a construction company. The truck weighs 17,888.99 lb with no load. However, with a full load of carbon steel rods, the truck weighs 36,520.01 lb.  What is the weight of the carbon steel rods?

To figure out this answer subtract the weight of the empty truck from the weight of the truck with the steel rods. This will tell you how much the steel rods weigh. Make sure to line up the decimal points and regroup when necessary.

Answer 2

Q1. Total Cost = (8 x 21 + 1 x 12) x 1.19 = $214.2

Q2. Total Cost = 65.89 x 2 + 2 x 24.50 = 180.78

Total return = $200 - $180.78 = $19.22

Q3. Total Cost = (19 x 7 + 21) x $44.25 = $6814.5

Q4. Weight of rod = 36520.01 - 17888.99 = 18,631.02 lb