Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle fills 3 large boxes and 5 small boxes with 170 soup cans total. The boy working next to her fills 4 large boxes and 4 small boxes with 184 soup cans total. How many cans does each small box hold?____ cans
Q. Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle fills 3 large boxes and 5 small boxes with 170 soup cans total. The boy working next to her fills 4 large boxes and 4 small boxes with 184 soup cans total. How many cans does each small box hold?____ cans
Set up equations: Step 1: Set up the equations based on the information given.Estelle: 3L+5S=170Boy: 4L+4S=184Here, L represents the number of cans in a large box, and S represents the number of cans in a small box.
Solve using elimination method: Step 2: Solve the equations using the elimination method. Multiply the first equation by 4 and the second by 3 to align the coefficients for L. 12L+20S=68012L+12S=552 Subtract the second equation from the first. 8S=128
Solve for S: Step 3: Solve for S.Divide both sides by 8.S=16This means each small box holds 16 cans.
More problems from Pythagorean Theorem and its converse