CONSTRUCTING EQUATIONS ALGEBRA I @ CONSTRUCTING EQUATIONS

1) There are 21 dogs and chickens in a pen 1) There are 21 dogs and chickens in a pen. Altogether, they have 66 legs (assume every animal has the “appropriate” number of legs). How many dogs and how many chickens are there? ANSWER : chickens – 9, dogs - 12

2) Five times the number of nicks equal a nack 2) Five times the number of nicks equal a nack. You have a total of 54 nicks and nacks. How many of each do you have? ANSWER : nicks – 9, nacks - 45

3) There are a total of 49 zits, zots, and yots 3) There are a total of 49 zits, zots, and yots. Four times the number of zots equal one zit and two times the number of zots are the same as one yot. Find the number of each. ANSWER : zits – 28, zots – 7, yots - 14

4) A screw and two blocks balance eight nails 4) A screw and two blocks balance eight nails. One block balances a screw and a nail. How many nails will balance a block? ANSWER : 3 nails balance a block

5) A bottle and a glass balance with a pitcher 5) A bottle and a glass balance with a pitcher. A bottle balances with a glass and a plate. Two pitchers balance with three plates. How many glasses will balance with a bottle? ANSWER : 5 glasses balance a bottle

ALGEBRA I - CONSTRUCTING EQUATIONS 4/19/2019 ALGEBRA I - CONSTRUCTING EQUATIONS