Mass + system of equations - practice problems - page 8 of 10
Number of problems found: 188
- Sufficient 4019
We want to prepare 200g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need? - Collection 3977
Tomáš brought the collection 20 percent less than Michal. Filip brought half of what Tomas did. Together, they brought 52.8 kg. How much did he bring? - Three friends
Danica, Lenka, and Dalibor have 96 kg altogether. Lenka weighs 75% more than Dalibor, and Danica weighs 6 kg more than Dalibor. Determine the weight of Danice, Lenka, and Dalibor. - Vegan shop
The shops brought 23.2 kg of goods, fruits, vegetables, and nuts. The fruit was 4.7 kg more than vegetables, and the nuts were 1.5 kilograms less than the fruit. Determine the number of fruits, vegetables, and nuts.
- Bonbons
Create a mixture of 50 kg of candy for a price of 700Kč. Candies have prices: 820Kč, 660Kč, and 580Kč. Use cross rule. - Jam
A jar with jam weighs 800 grams. Jam weighs three times as much as the empty glass. What is the weight of the jam that is in the glass? - Water wessel
The vessel containing water weighs 19 kg. After pouring half the water, its weighed 11 kg. What is the weight of the empty vessel? - Sweets
We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How many of these two candy types are necessary to prepare this mixture? - Copper parts
The metallurgic company made three parts from the copper cast. The first consumed one-third of the casting, the second 2/3 of the rest, and the third weighed 18 kg. What is the weight of the original copper cast?
- One-thirds 3606
They baked one-third of the flour on the first day in the bakery and used 75% of the rest the next day. On the third day, 120 kg of flour remained. How much flour did they have in the beginning? - Potatoes bags
I have three bags with 21 kg of potatoes. The first bag is 5.5 kg more than the second bag, and the third is 0.5 kg more than the second bag. Determine how many kgs of potatoes are in each bag. - Alcohol mixture
From 55% and 80% alcohol, we have to produce 0.2 kg of 60% alcohol. How many of them do we use in the solution? - CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains. - Tangerines 3249
The bowl with tangerines weighs 16 kg. When the cook dispenses 2/3 of the tangerines in the school cafeteria, the bowl with the rest of the tangerines weighs only 8 kg. What is the weight of an empty bowl?
- Concentration
How many grams of 65% and 50% acid is to be mixed to give 240 g of acid with a concentration of 60%? - Determine 3033
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1: 6: 7: 2. Determine what weight each of them has. - Three piles
100 kg of sugar we divide into three piles. The first pile is small. If we added to the second 2 kg of sugar, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the 2nd pile. How - Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and how much copper does it contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3 - Measurements 2728
Three friends weighed themselves so that two always stood on the scale, and the third wrote down the measured weight. After all the measurements, the numbers written on the paper were 60 kg, 64 kg, and 66 kg. Determine the mass of each boy.
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